DOCSLIB.ORG

New Publications Offered by the AMS

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
New Publications Offered by the AMS newpubs-dec00.qxp 10/18/00 12:45 PM Page 1438 New Publications Offered by the AMS composable Hopf algebras over Coxeter groups; D. Nikshych, Algebra and Algebraic A duality theorem for quantum groupoids; M. Ronco, Primitive elements in a free dendriform algebra; S. Sachse, On operator Geometry representations of Uq(isl(2, R)); P. Schauenburg, Duals and doubles of quantum groupoids (×R-Hopf algebras); M. Takeuchi, Survey of braided Hopf algebras; S. Westreich, Inner and outer actions of pointed Hopf algebras; J.-H. Lu, CONTEMPORARY New Trends in Hopf MATHEMATICS Algebra Theory M. Yan, and Y. Zhu, Quasi-triangular structures on Hopf alge- 267 bras with positive bases. New Trends in Nicolás Andruskiewitsch, Contemporary Mathematics, Volume 267 Hopf Algebra Theory Universidad Nacional de Nicolás Andruskiewitsch December 2000, 356 pages, Softcover, ISBN 0-8218-2126-1, Walter Ricardo Ferrer Santos Hans-Jürgen Schneider Córdoba, Argentina, Walter LC 00-045366, 2000 Mathematics Subject Classification: 16W30, Editors Ricardo Ferrer Santos, Centro 16W25, 16W35, 16S40; 16L60, Individual member $45, List THEMAT A IC M A L $75, Institutional member $60, Order code CONM/267N N ΤΡΗΤΟΣ ΜΗ ΕΙΣΙΤΩ A S O C I C R I E de Matemática, Montevideo, E ΑΓΕΩΜΕ T M Y A F OU 88 NDED 18 Uruguay, and Hans-Jürgen American Mathematical Society Schneider, Universität Quantum Linear München, Germany, Editors EMOIRS M of the American Mathematical Society Groups and This volume presents the proceedings from the Colloquium on Volume 149 Number 706 Quantum Groups and Hopf Algebras held in Córdoba Quantum Linear Groups Representations of (Argentina) in 1999. The meeting brought together researchers and Representations F of GLn (Fq) GLn( q) who discussed recent developments in Hopf algebras, one of Jonathan Brundan the most important being the influence of quantum groups. Richard Dipper Jonathan Brundan, University Alexander Kleshchev M of Oregon, Eugene, Richard THE AT A IC M A L N ΤΡΗΤΟΣ ΜΗ Articles offer introductory expositions and surveys on topics ΕΙΣΙΤΩ A S O C I C R I E E ΑΓΕΩΜΕ T M Y A F OU 88 of current interest that, to date, have not been available in the NDED 18 Dipper, Universität Stuttgart, current literature. Surveys are included on characteristics of American Mathematical Society Germany, and Alexander Hopf algebras and their generalizations, biFrobenius algebras, Kleshchev, University of braided Hopf algebras, inner actions and Galois theory, face Oregon, Eugene algebras, and infinitesimal Hopf algebras. The following topics are also covered: existence of integrals, classification of semi- Contents: Introduction; Quantum linear groups and polyno- ∗ simple and pointed Hopf algebras, -Hopf algebras, mial induction; Classical results on GLn ; Connecting GLn with dendriform algebras, etc. Non-classical topics are also quantum linear groups; Further connections and applications; included, reflecting its applications both inside and outside the The affine general linear group; Bibliography. theory. Memoirs of the American Mathematical Society, Volume 149, This item will also be of interest to those working in mathe- Number 706 matical physics. January 2001, 112 pages, Softcover, ISBN 0-8218-2616-6, Contents: M. Aguiar, Infinitesimal Hopf algebras; S. Caenepeel LC 00-046918, 2000 Mathematics Subject Classification: 20C20, and E. De Groot, Modules over weak entwining structures; 20C33, 20G05, 17B37, Individual member $28, List $46, M. Cohen, On generalized characters; Y. Doi and M. Takeuchi, Institutional member $37, Order code MEMO/149/706N BiFrobenius algebras; A. García and R. Trinchero, Integrable models and star structures; M. Graña, On Nichols algebras of low dimension; J. A. Guccione and J. J. Guccione, A generaliza- tion of crossed products; T. Hayashi, A brief introduction to face algebras; L. H. Kauffman and D. E. Radford, On two proofs for the existence and uniqueness of integrals for finite- dimensional Hopf algebras; A. Masuoka, Cocycle deformations and Galois objects for some cosemisimple Hopf algebras of finite dimension; A. Milinski and H.-J. Schneider, Pointed inde- 1438 NOTICES OF THE AMS VOLUME 47, NUMBER 11 newpubs-dec00.qxp 10/18/00 12:45 PM Page 1439 New Publications Offered by the AMS Black Box Classical tional group of researchers studying singularities from alge- EMOIRS braic and analytic viewpoints. The contributed papers contain M of the American Mathematical Society Groups original results as well as some expository and historical mate- Volume 149 Number 708 rial. This volume is dedicated to Oscar Zariski, on the one William M. Kantor, University hundredth anniversary of his birth. Black Box of Oregon, Eugene, and Ákos Topics include the role of valuation theory in algebraic geom- Classical Groups Seress, Ohio State University, William M. Kantor etry with recent applications to the structure of morphisms; Ákos Seress Columbus algorithmic approaches to resolution of equisingular surface THEMAT A IC M A L N ΤΡΗΤΟΣ ΜΗ ΕΙΣΙΤΩ A S O C I C R I singularities and locally toric varieties; weak subintegral E E ΑΓΕΩΜΕ T M Y A F OU 88 NDED 18 Contents: Introduction; Preliminaries; closures of ideals and Rees valuations; constructions of Special linear groups: PSL(d, q); American Mathematical Society universal weakly subintegral extensions of rings; direct-sum Orthogonal groups: PΩε(d, q) ; decompositions of finitely generated modules; construction Symplectic groups: PSp(2m, q); and examples of resolution graphs of surface singularities; Unitary groups: PSU(d, q); Proofs of Jacobians of meromorphic curves; investigation of spectral Theorems 1.1 and 1.1 , and of corollaries 1.2–1.4; Permutation ´ numbers of curve singularities using Puiseux pairs; Gröbner group algorithms; Concluding remarks; References. basis calculations of Hochschild homology for hypersurfaces Memoirs of the American Mathematical Society, Volume 149, with isolated singularities; and the theory of characteristic Number 708 classes of singular spaces—a brief history with conjectures and January 2001, 168 pages, Softcover, ISBN 0-8218-2619-0, open problems. LC 00-046914, 2000 Mathematics Subject Classification: 20B40, Contents: S. S. Abhyankar and A. Assi, Factoring the Jacobian; 20G40; 20P05, 68Q25, Individual member $32, List $53, M. A. Vitulli, Weak normalization and weak subintegral Institutional member $42, Order code MEMO/149/708N closure; L. G. Roberts, Integral dependence and weak subinte- grality; R. Wiegand, Singularities and direct-sum decompositions; S. D. Cutkosky, Valuations in algebra and The Spectrum of a geometry; C. Ban and L. J. McEwan, Simultaneous resolution of EMOIRS M of the equisingular quasi-ordinary singularities; C. G. Melles and American Mathematical Society Module Category P. Milman, Single-step combinatorial resolution via coherent Volume 149 Number 707 Henning Krause, University of sheaves of ideals; A. Némethi, Resolution graphs of some The Spectrum of Bielefeld, Germany surface singularities, I. (Cyclic coverings); A. Némethi and a Module Category Á. Szilárd, Resolution graphs of some surface singularities, II. Henning Krause Contents: Introduction; The functor (Generalized Iomdin series); L. J. McEwan, Inequalities for category; Definable subcategories; Left spectral distributions of curve singularities; R. I. Michler, THEMAT A IC M A L N ΤΡΗΤΟΣ ΜΗ ΕΙΣΙΤΩ A S O C I Isolated singularities with large Hochschild homology; J.- C R I E E ΑΓΕΩΜΕ T approximations; duality; Ideals in the M Y A F OU 88 NDED 18 category of finitely presented P. Brasselet, Milnor classes via polar varieties. American Mathematical Society modules; Endofinite modules; Krull- Contemporary Mathematics, Volume 266 Gabriel dimension; The infinite radical; Functors between module categories; November 2000, 187 pages, Softcover, ISBN 0-8218-2005-2, Tame algebras; Rings of definable scalars; Reflective definable LC 00-064610, 2000 Mathematics Subject Classification: 13B22, subcategories; Sheaves; Tame hereditary algebras; Coherent 14B05, 32S05, 32S20; 13F45, 14C17, 14E15, 14H30, 14J17, rings; Appendix A. Locally coherent Grothendieck categories; 32S40, 32S45, 32S50, Individual member $29, List $49, Appendix B. Dimensions; Appendix C. Finitely presented func- Institutional member $39, Order code CONM/266N tors and ideals; Bibliography. Memoirs of the American Mathematical Society, Volume 149, Volume 12 Open Algebraic Number 707 C CRM R MONOGRAPH Surfaces January 2001, 125 pages, Softcover, ISBN 0-8218-2618-2, M LC 00-046916, 2000 Mathematics Subject Classification: 16D70, SERIES Centre de Recherches Mathématiques Masayoshi Miyanishi, Osaka 16D90, 16G60; 16G70, 16P70, 16S90, 18G25, Individual Université de Montréal University, Toyonaka, Japan member $28, List $47, Institutional member $38, Order code Open MEMO/149/707N Algebraic Open algebraic surfaces are a Surfaces synonym for algebraic surfaces that Masayoshi Miyanishi are not necessarily complete. An open THEMAT A IC algebraic surface is understood as a ONTEMPORARY M A L N ΤΡΗΤΟΣ ΜΗ ΕΙΣΙΤΩ Singularities in A S C O C I C R I E E ΑΓΕΩΜΕ T American Mathematical Society Y M A F O 88 MATHEMATICS UNDED 18 Zariski open set of a projective alge- 266 Algebraic and braic surface. There is a long history Singularities in Analytic Geometry of research on projective algebraic Algebraic and surfaces, and there exists a beautiful Enriques-Kodaira classifi- Analytic Geometry Caroline Grant Melles, U.S. cation of such surfaces. The research accumulated by Caroline Grant Melles Ruth I. Michler Ramanujan, Abhyankar, Moh, and Nagata and others has estab- Editors
Load more

Recommended publications
  • Quasi Regular Dirichlet Forms and the Stochastic Quantization Problem
    Quasi regular Dirichlet forms and the stochastic quantization problem Sergio Albeverio ∗† Zhi Ming Ma ‡ Michael R¨ockner †§ Dedicated to Masatoshi Fukushima for his 80th birthday 7.4.14 Abstract After recalling basic features of the theory of symmetric quasi regu- lar Dirichlet forms we show how by applying it to the stochastic quan- tization equation, with Gaussian space-time noise, one obtains weak solutions in a large invariant set. Subsequently, we discuss non sym- metric quasi regular Dirichlet forms and show in particular by two simple examples in infinite dimensions that infinitesimal invariance, does not imply global invariance. We also present a simple example of non-Markov uniqueness in infinite dimensions. 1 Introduction The theory of symmetric Dirichlet forms is the natural extension to higher dimensional state spaces of the classical Feller theory of stochastic processes on the real line. Through ground breaking work by Beurling and Deny (1958- 59), [BD58], [BD59], [Den70], [Sil74], [Sil76], and Fukushima (since 1971), [Fu71a], [Fu71b], [Fu80], [FOT11], [CF12], it has developed into a powerful method of combining analytic and functional analytic, as well as poten- tial theoretic and probabilistic methods to handle the basic construction of stochastic processes under natural conditions about the local characteris- arXiv:1404.2757v2 [math.PR] 30 Apr 2014 tics (e.g., drift and diffusion coefficients), avoiding unnecessary regularity conditions. Such processes arise in a number of applied problems where coefficients can be singular, locally or at infinity. For detailed expositions of the gen- eral theory, mainly concentrated on finite dimensional state spaces, see ∗Inst. Appl. Mathematics and HCM, University of Bonn; CERFIM (Locarno); [email protected] †BiBoS (Bielefeld, Bonn) ‡Inst.
    [Show full text]
  • Sergio Albeverio
    Sergio Albeverio Academic career 1966 Dr. rer. nat., ETH Zurich,¨ Switzerland (supervi- sor: R. Jost, M. Fierz) 1962 - 1971 Assistant Professor, Lecturer, Research Fel- low: ETH Zurich¨ (Switzerland), Imperial Colle- ge London (England, UK), Princeton University (NJ, USA) 1972 - 1977 Professor (Marseille, Oslo, and Naples) 1977 - 1979 Professor (H3), University of Bielefeld 1979 - 1997 Professor (H4), University of Bochum 1997 - 2008 Professor (H4/C4), University of Bonn 1997 - 2009 Professor and Director of Mathematics Sect., Accademia di Achitettura, USI, Mendrisio, Swit- zerland Since 2008 Professor Emeritus Longer research stays and invited professor- ships at many universities and research cen- ters in Europe, China, Japan, Mexico, Rus- sia/USSR, Saudi Arabia, USA Honours 1969 - 1971 SNF Research Awards 1993 Max Planck Research Award Since 2002 Listed in the ISI Highly Cited Scientists 2002 Doctor honoris causa, Oslo University, Norway (Bicentennial of N. H. Abel) 2002 Visiting Professorship (over several years) per chiara fama, University of Trento 2003 Bonn University Prize for an interdisciplinary project “Extreme events in natural and artificial systems” 2011 - 2015 Chair Professorship in Mathematics, King Fahd University of Petroleum and Mi- nerals (KFUPM) Offers 1988 Chair of Mathematics, per chiara fama, Roma University II, Italy Invited Lectures Plenary lecturer at over 230 international meetings, including: 1977 International Congress on Mathematical Physics, Rome, Italy 1983 International Congress on Mathematical Physics, Boulder, CO, USA 1986 International Congress on Mathematical Physics, Marseille, France 1988 International Congress on Mathematical Physics, Swansea, Wales, UK 1994 N. Wiener Memorial Symposium, East Lansing, MI, USA 1995 S. Lefshetz Memorial Lecture, UNAM, Mex. Soc. Math./AMS, Mexico City 2000 Conference in Honor of S.
    [Show full text]
  • Arxiv:1903.00779V1 [Math.SP] 2 Mar 2019 O Clrsh¨Dne Prtr ( Schr¨Odinger Operators Scalar for Rn O P29177
    THE INVERSE APPROACH TO DIRAC-TYPE SYSTEMS BASED ON THE A-FUNCTION CONCEPT FRITZ GESZTESY AND ALEXANDER SAKHNOVICH Abstract. The principal objective in this paper is a new inverse approach to general Dirac-type systems of the form ′ y (x,z)= i(zJ + JV (x))y(x,z) (x ≥ 0), ⊤ where y = (y1,...,ym) and (for m1, m2 ∈ N) Im1 0m1×m2 0m1 v J = , V = ∗ , m1 + m2 =: m, 0m2×m1 −Im2 v 0m2 m ×m for v ∈ C1([0, ∞)) 1 2 , modeled after B. Simon’s 1999 inverse approach to half-line Schr¨odinger operators. In particular, we derive the A-equation associated to this Dirac-type system in the (z-independent) form x ∂ ∂ ∗ A(x,ℓ)= A(x,ℓ)+ A(x − t, ℓ)A(0,ℓ) A(t, ℓ) dt (x ≥ 0,ℓ ≥ 0). ∂ℓ ∂x ˆ0 Given the fundamental positivity condition ST > 0 in (1.14) (cf. (1.13) for details), we prove that this integro-differential equation for A( · , · ) is uniquely solvable for initial conditions 1 m ×m A( · , 0) = A( · ) ∈ C ([0, ∞)) 2 1 , m ×m and the corresponding potential coefficient v ∈ C1([0, ∞)) 1 2 can be recovered from A( · , · ) via ∗ v(ℓ) = −iA(0,ℓ) (ℓ ≥ 0). Contents 1. Introduction 1 2. Preliminaries 6 3. The A-Function for Dirac-Type Systems: Part I 7 4. The A-Function for Dirac-Type Systems: Part II 9 5. The A-Equation for Dirac-Type Systems 13 6. The Inverse Approach 15 arXiv:1903.00779v1 [math.SP] 2 Mar 2019 Appendix A. Various Results in Support of Step 2 in the Proof of Theorem 5.1 19 References 29 1.
    [Show full text]
  • Scientific Report for 2012
    Scientific Report for 2012 Impressum: Eigent¨umer,Verleger, Herausgeber: The Erwin Schr¨odingerInternational Institute for Mathematical Physics - University of Vienna (DVR 0065528), Boltzmanngasse 9, A-1090 Vienna. Redaktion: Joachim Schwermer, Jakob Yngvason. Supported by the Austrian Federal Ministry of Science and Research (BMWF) via the University of Vienna. Contents Preface 3 The Institute and its Mission . 3 Scientific activities in 2012 . 4 The ESI in 2012 . 7 Scientific Reports 9 Main Research Programmes . 9 Automorphic Forms: Arithmetic and Geometry . 9 K-theory and Quantum Fields . 14 The Interaction of Geometry and Representation Theory. Exploring new frontiers. 18 Modern Methods of Time-Frequency Analysis II . 22 Workshops Organized Outside the Main Programmes . 32 Operator Related Function Theory . 32 Higher Spin Gravity . 34 Computational Inverse Problems . 35 Periodic Orbits in Dynamical Systems . 37 EMS-IAMP Summer School on Quantum Chaos . 39 Golod-Shafarevich Groups and Algebras, and the Rank Gradient . 41 Recent Developments in the Mathematical Analysis of Large Systems . 44 9th Vienna Central European Seminar on Particle Physics and Quantum Field Theory: Dark Matter, Dark Energy, Black Holes and Quantum Aspects of the Universe . 46 Dynamics of General Relativity: Black Holes and Asymptotics . 47 Research in Teams . 49 Bruno Nachtergaele et al: Disordered Oscillator Systems . 49 Alexander Fel'shtyn et al: Twisted Conjugacy Classes in Discrete Groups . 50 Erez Lapid et al: Whittaker Periods of Automorphic Forms . 53 Dale Cutkosky et al: Resolution of Surface Singularities in Positive Characteristic . 55 Senior Research Fellows Programme . 57 James Cogdell: L-functions and Functoriality . 57 Detlev Buchholz: Fundamentals and Highlights of Algebraic Quantum Field Theory .
    [Show full text]
  • A New Approach to Inverse Spectral Theory, II. General Real Potentials
    Annals of Mathematics, 152 (2000), 593–643 A new approach to inverse spectral theory, II. General real potentials and the connection to the spectral measure∗ By Fritz Gesztesy and Barry Simon Abstract We continue the study of the A-amplitude associated to a half-line d2 2 Schr¨odinger operator, 2 + q in L ((0, b)), b . A is related to the Weyl- − dx ≤∞ Titchmarsh m-function via m( κ2)= κ a A(α)e 2ακ dα+O(e (2a ε)κ) for − − − 0 − − − all ε> 0. We discuss five issues here. First,R we extend the theory to general q in L1((0, a)) for all a, including q’s which are limit circle at infinity. Second, we prove the following relation between the A-amplitude and the spectral measure 1 ρ: A(α) = 2 ∞ λ− 2 sin(2α√λ) dρ(λ) (since the integral is divergent, this − −∞ formula has toR be properly interpreted). Third, we provide a Laplace trans- form representation for m without error term in the case b < . Fourth, we ∞ discuss m-functions associated to other boundary conditions than the Dirichlet boundary conditions associated to the principal Weyl-Titchmarsh m-function. Finally, we discuss some examples where one can compute A exactly. 1. Introduction In this paper we will consider Schr¨odinger operators d2 (1.1) + q −dx2 in L2((0, b)) for 0 <b< or b = and real-valued locally integrable q. arXiv:math/9809182v2 [math.SP] 1 Sep 2000 ∞ ∞ There are essentially four distinct cases. ∗This material is based upon work supported by the National Science Foundation under Grant No.
    [Show full text]
  • Notices of the American Mathematical Society
    OF THE 1994 AMS Election Special Section page 7 4 7 Fields Medals and Nevanlinna Prize Awarded at ICM-94 page 763 SEPTEMBER 1994, VOLUME 41, NUMBER 7 Providence, Rhode Island, USA ISSN 0002-9920 Calendar of AMS Meetings and Conferences This calendar lists all meetings and conferences approved prior to the date this issue insofar as is possible. Instructions for submission of abstracts can be found in the went to press. The summer and annual meetings are joint meetings with the Mathe· January 1994 issue of the Notices on page 43. Abstracts of papers to be presented at matical Association of America. the meeting must be received at the headquarters of the Society in Providence, Rhode Abstracts of papers presented at a meeting of the Society are published in the Island, on or before the deadline given below for the meeting. Note that the deadline for journal Abstracts of papers presented to the American Mathematical Society in the abstracts for consideration for presentation at special sessions is usually three weeks issue corresponding to that of the Notices which contains the program of the meeting, earlier than that specified below. Meetings Abstract Program Meeting# Date Place Deadline Issue 895 t October 28-29, 1994 Stillwater, Oklahoma Expired October 896 t November 11-13, 1994 Richmond, Virginia Expired October 897 * January 4-7, 1995 (101st Annual Meeting) San Francisco, California October 3 January 898 * March 4-5, 1995 Hartford, Connecticut December 1 March 899 * March 17-18, 1995 Orlando, Florida December 1 March 900 * March 24-25,
    [Show full text]
  • Nontrivial Attractors in a Model Related to the Three-Body Quantum Problem
    Acta Applicandae Mathematicae 48: 113±184, 1997. 113 c 1997 Kluwer Academic Publishers. Printed in the Netherlands. Nontrivial Attractors in a Model Related to the Three-Body Quantum Problem SERGIO ALBEVERIO1,2 and KONSTANTIN A. MAKAROV1,3 1FakultatÈ furÈ Mathematik, Ruhr UniversitatÈ Bochum, D-44780 Bochum, Germany 2BiBoS; SFB 237 Bochum-Essen-Dusseldorf;È CERFIM, Locarno, Italy 3Department of Computational and Mathematical Physics, St. Petersburg University, 198094 St. Petersburg, Russia (Received: 29 January 1996) Abstract. A model of a quantum mechanical system related to the three-body problem is studied. The model is de®ned in terms of a symmetric pseudo-differential operator (PDO) with unbounded symbol. The entire family of self-adjoint extensions of this operator is studied using harmonic analysis. A regularization procedure for this PDO is introduced and the spectral properties of the operators obtained in this way are investigated. The limit behavior of the regularized operators when the regularization parameter is removed is analyzed and a nontrivial attractor is exhibited. Mathematics Subject Classi®cations (1991). 47A20, 47B35, 81Q10. Key words: extension theory of symmetric operators, convolutions, pseudo-differential operators, harmonic analysis, E®mov effect, three-body quantum problem, regularization, attractors, Hamil- tonians which are not lower semibounded, spectral analysis, Lagrangian planes. 0. Introduction In 1933, Wigner [1] remarked that nuclear forces must be of very short range and very strong. Two years later, Bethe and Peierls [2] in order to model such forces introduced point potentials that vanish except at the origin and so correspond to zero range forces. The introduction of zero-range potentials gave a powerful impulse to study quantum mechanical systems with singular interaction, many of which being also solvable [3].
    [Show full text]
  • Stochastic Flows with Stationary Distribution for Two-Dimensional Inviscid Fluids
    View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Elsevier - Publisher Connector Stochastic Processes and their Applications 31 (198Y) 1-31 North Holland STOCHASTIC FLOWS WITH STATIONARY DISTRIBUTION FOR TWO-DIMENSIONAL INVISCID FLUIDS Sergio ALBEVERIO BIBOS, Universitiit Bielefeld, SFB 237 Bochum-Essen-Diisseldorf;r Fakulib’t fir Mathematik, Ruhr-Universitiit, D-4630 Bochum, FR Germany Raphael H@EGH-KROHN? Matematisk Instituti, Universitetet i Oslo, Blindern, Oslo, Norway Received 25 May 1987 We consider the Euler equation for an incompressible fluid in a general bounded domain of Iw’ with stochastic initial data. Extending previous work (for a fluid in a periodic box) we prove that the distribution of velocities u given as the standard normal distribution /+r with respect to the quadratic form yS( u) + flH( u), with p, y 2 0, S, H being respectively the entropy and energy, is infinitesimally invariant with respect to the dynamics given by the Euler equation, in the sense that there is a one parameter group of unitary operators in L’(F~,~) with generator coinciding on a dense domain with the Liouville operator associated to the Euler flow. We also mention problems connected with proving the global invariance and the uniqueness of the stochastic flow. Euler equation * stochastic flow * incompressible fluid * stochastic initial data 1. Introduction There are situations in mathematics, physics and other sciences where some set of nonlinear partial differential equations is given, which should describe the evolution in time of a system, given suitable initial conditions. The initial conditions should be relevant to the problem at hand.
    [Show full text]
  • Sergio Albeverio
    Sergio Albeverio Academic career 1966 Dr. rer. nat., ETH Zurich,¨ Switzerland (supervi- sor: R. Jost, M. Fierz) 1962 - 1971 Assistant Professor, Lecturer, Research Fel- low: ETH Zurich¨ (Switzerland), Imperial Colle- ge London (England, UK), Princeton University (NJ, USA) 1972 - 1977 Professor (Marseille, Oslo, and Naples) 1977 - 1979 Professor (H3), University of Bielefeld 1979 - 1997 Professor (H4), University of Bochum 1997 - 2008 Professor (H4/C4), University of Bonn 1997 - 2009 Professor and Director of Mathematics Sect., Accademia di Achitettura, USI, Mendrisio, Swit- zerland Since 2008 Professor Emeritus, University of Bonn Longer research stays and invited professor- ships at many universities and research cen- ters in Europe, China, Japan, Mexico, Rus- sia/USSR, Saudi Arabia, USA Honours 1969 - 1971 SNF Research Awards 1993 Max Planck Research Award Since 2002 Listed in the ISI Highly Cited Scientists 2002 Doctor honoris causa, Oslo University, Norway (Bicentennial of N. H. Abel) 2002 Visiting Professorship (over several years) per chiara fama, University of Trento 2003 Bonn University Prize for an interdisciplinary project “Extreme events in natural and artificial systems” 2011 - 2015 Chair Professorship in Mathematics, King Fahd University of Petroleum and Mi- nerals (KFUPM), Dhahran, Saudi Arabia 2018 Doctor honoris causa, Stockholm University, Sweden Offers 1988 Chair of Mathematics, per chiara fama, Roma University II, Italy Invited Lectures Plenary lecturer at over 230 international meetings, including: 1977 International Congress on Mathematical Physics, Rome, Italy 1983 International Congress on Mathematical Physics, Boulder, CO, USA 1986 International Congress on Mathematical Physics, Marseille, France 1988 International Congress on Mathematical Physics, Swansea, Wales, UK 1994 N. Wiener Memorial Symposium, East Lansing, MI, USA 1995 S.
    [Show full text]
  • Curriculum Vitae
    Isaac B. Michael Curriculum Vitae Education 2019 Ph.D. in Mathematics, Baylor University, Waco, TX. Advisor: Fritz Gesztesy Co-Advisor: Lance Littlejohn Thesis: On Birman–Hardy–Rellich-type Inequalities 2015 M.S. in Mathematics, Baylor University, Waco, TX. 4.0 GPA 2013 B.S. in Mathematics, Tarleton State University, Stephenville, TX. 3.3 GPA; 3.9 Institutional GPA 8-12 Math Teaching Certification Research Interests Primary Analysis (Real, Complex, and Functional), Differential Equations (Ordi- nary and Partial), Spectral Theory, Operator Theory Secondary Deterministic Dynamical Systems, Semigroups, Functional Calculus, Calculus of Variations, Lie Theory Publications and Preprints [1] Net Regular Signed Trees, with M. Sepanski, Australasian Journal of Combinatorics 66(2), 192-204 (2016). [2] On Birman’s Sequence of Hardy–Rellich-Type Inequalities, with F. Gesztesy, L. Littlejohn, and R. Wellman, Journal of Differential Equations 264(4), 2761-2801 (2018). [3] Radial and Logarithmic Refinements of Hardy’s Inequality, with F. Gesztesy, L. Littlejohn, and M. M. H. Pang, Algebra i Analiz, 30(3), 55–65 (2018) (Russian), St. Petersburg Math. J., St. 30, 429–436 (2019) (English). Louisiana State University – Department of Mathematics H (254) 366-6861 • B [email protected] Í math.lsu.edu/∼imichael 1/9 [4] On Weighted Hardy-Type Inequalities, with C. Y. Chuah, F. Gesztesy, L. Littlejohn, T. Mei, and M. M. H. Pang, Math. Ineq. & App. 23(2), 625-646 (2020). [5] A Sequence of Weighted Birman–Hardy–Rellich-type Inequalities with Loga- rithmic Refinements, with F. Gesztesy, L. Littlejohn, and M. M. H. Pang (submitted for publication). [6] Optimality of Constants in Weighted Birman–Hardy–Rellich Inequalities with Logarithmic Refinements, with F.
    [Show full text]
  • On the Probabilistic, Metric and Dimensional Theories of the Second Ostrogradsky Expansion
    On the Probabilistic, Metric and Dimensional Theories of the Second Ostrogradsky Expansion Sergio Albeverio, Iryna Pratsiovyta, Grygoriy Torbin no. 482 Diese Arbeit ist mit Unterstützung des von der Deutschen Forschungs- gemeinschaft getragenen Sonderforschungsbereichs 611 an der Universität Bonn entstanden und als Manuskript vervielfältigt worden. Bonn, November 2010 ON THE PROBABILISTIC, METRIC AND DIMENSIONAL THEORIES OF THE SECOND OSTROGRADSKY EXPANSION SERGIO ALBEVERIO1;2;3;4;5, IRYNA PRATSIOVYTA6, GRYGORIY TORBIN7;8 Abstract. We study properties of the random variable η with in- dependent identically distributed differences of digits of the second Ostrogradsky expansion. Necessary and sufficient conditions for η to be discrete resp. singularly continuous are found. We prove that η can not be absolutely continuously distributed. An ergodic theory for the second Ostrogradsky expansions is also developed. In particular, it is proven that for Lebesgue almost all real num- bers any digit i from the alphabet A = N appears only finitely many times in the difference-version of the second Ostrogradsky expansion. Properties of a symbolic dynamical system generated by the natural one-sided shift-transformation T on the difference- version of the second Ostrogradsky expansion are also studied. It is shown that there are no probability measures which are invariant and ergodic (w.r.t. T ) and absolutely continuous (w.r.t. Lebesgue measure). We also study properties of subsets belonging to some classes of closed nowhere dense sets defined by characteristic properties of the second Ostrogradsky expansion. In particular, conditions for the 2 set C[O¯ ; fVkg], consisting of real numbers whose Ostrogradsky symbols take values from the sets Vk ⊂ N, to be of zero resp.
    [Show full text]
  • THE ANNALS of PROBABILITY
    ISSN 0091-1798 (print) ISSN 2168-894X (online) THE ANNALS of PROBABILITY AN OFFICIAL JOURNAL OF THE INSTITUTE OF MATHEMATICAL STATISTICS Articles Planar Brownian motion and Gaussian multiplicative chaos . ANTOINE JEGO 1597 Bounding the number of self-avoiding walks: Hammersley–Welsh with polygon insertion HUGO DUMINIL-COPIN,SHIRSHENDU GANGULY,ALAN HAMMOND AND IOAN MANOLESCU 1644 Elliptic stochastic quantization . SERGIO ALBEVERIO,FRANCESCO C. DE VECCHI AND MASSIMILIANO GUBINELLI 1693 Growth-fragmentation processes in Brownian motion indexed by the Brownian tree JEAN-FRANÇOIS LE GALL AND ARMAND RIERA 1742 Points of infinite multiplicity of planar Brownian motion: Measures and local times ELIE AÏDÉKON,YUEYUN HU AND ZHAN SHI 1785 Averaging dynamics driven by fractional Brownian motion MARTIN HAIRER AND XUE-MEI LI 1826 Confluence of geodesics in Liouville quantum gravity for γ ∈ (0, 2) EWAIN GWYNNE AND JASON MILLER 1861 From nonlinear Fokker–Planck equations to solutions of distribution dependent SDE VIOREL BARBU AND MICHAEL RÖCKNER 1902 Periodic Pólya urns, the density method and asymptotics of Young tableaux CYRIL BANDERIER,PHILIPPE MARCHAL AND MICHAEL WALLNER 1921 FinitaryisomorphismsofBrownianmotions........ZEMER KOSLOFF AND TERRY SOO 1966 Near-critical spanning forests and renormalization STÉPHANE BENOIST,LAURE DUMAZ AND WENDELIN WERNER 1980 Random walks on dynamical random environments with nonuniform mixing ORIANE BLONDEL,MARCELO R. HILÁRIO AND AUGUSTO TEIXEIRA 2014 Algorithmic thresholds for tensor PCA GÉRARD BEN AROUS,REZA GHEISSARI AND AUKOSH JAGANNATH 2052 Finitelydependentprocessesarefinitary..............................YINON SPINKA 2088 Vol. 48, No. 4—July 2020 THE ANNALS OF PROBABILITY Vol. 48, No. 4, pp. 1597–2117 July 2020 INSTITUTE OF MATHEMATICAL STATISTICS (Organized September 12, 1935) The purpose of the Institute is to foster the development and dissemination of the theory and applications of statistics and probability.
    [Show full text]