Raport de Activitate - 2009 Colectivul IMAR January 26, 2010 1 Lucrari publicate la finele lui 2008 si necontinute in Raportul pe 2008 1.1 In reviste cotate ISI 1. Belinschi, Serban; Nica, Alexandru: On a remarkable semigroup of homomorphisms with respect to free multiplicative convolution, Indiana University Mathematics Journal, volum 57, No.4 (2008), pag. 1679 – 1713 2. D. Beltit¸˘a,K.-H. Neeb: A non-smooth continuous unitary representation of a Banach-Lie group, Journal of Lie Theory 18 (2008), no. 4, pag. 933–936. 3. C. Calinescu, J. Lepowsky, A. Milas Vertex-algebraic structure of the principal subspaces (1) of certain A1 -modules, II: higher level case , Journal of Pure and Applied Algebra, 212 (2008), pag. 1928– 1950 4. Dorin Cheptea, Kazuo Habiro, Gwenael Massuyeau: A functorial LMO invariant for Lagrangian cobordisms, Geometry & Topology 12:2 (2008), pag. 1091 – 1170 (MR 2403806) 5. Alexandru Constantinescu Hilbert Function and Betti Numbers of Algebras with Lefschetz Property of Order m, Communications in Algebra, 36 (2008), pag. 4704 – 4720 6. Bruno Benedetti, Alexandru Constantinescu, Matteo Varbaro Dimension, Depth and Zero-Divisors of the Algebra of Basic k-Covers of a Graph, Le Matematiche, Volume LXIII, Issue II, (2008) , pag. 117–156. 7. Alexandru Constantinescu, Le Dinh Nam The Standard Graded Property for Vertex Cover Algebras of Quasi-Trees, Le Matematiche, Volume LXIII, Issue II, (2008), pag. 173–183. 8. I.Aberbach, F. Enescu: Lower bounds for Hilbert-Kunz multiplicities in local rings of fixed dimension, Mich. Math. Journal vol. 57 (2008) special volume in honor of M. Hochster, pag. 1-16 9. F. Enescu, M. Hochster: The Frobenus structure of local cohomology, Algebra and Number Theory, vol 2, (2008) no. 7, pag. 721-754 1 10. Paul Loya, Sergiu Moroianu, Jinsung Park: Adiabatic limit of the eta invariant over cofinite quotients of P SL(2,R), Compositio Mathematica 144 (2008), pag. 1593– 1616. 11. I. Nenciu: A note on circular trace formulae, Proc. Amer. Math. Soc. 136 (2008), pag. 2785–2792 12. A. Capatina, H.I. Ene, G. Pa¸sa,D. Poliˇsevski¸siR. Stavre: Optimal relations between the parameters of a P.E.M. fuel cell, Mathematical Reports, 60(4),(2008), pag. 299–308 13. M. Mihailescu, V. R˘adulescu: Continuous spectrum for a class of nonhomogeneous dif- ferential operators, Manuscripta Mathematica 125 (2008), pag. 157–167 (2008 ISI Impact Factor: 0,509, rank 129/214 Mathematics). 14. M. Mihailescu, P. Pucci, V. R˘adulescu: Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent, J. Math. Anal. Appl. 340 (2008), pag. 687–698 (2008 ISI Impact Factor: 1,046, rank 32/214 Mathematics). 15. R. Filippucci, P. Pucci, V. R˘adulescu: Existence and non-existence results for quasilin- ear elliptic exterior problems with nonlinear boundary conditions, Communications in Partial Differential Equations 33 (2008), pag. 706–717 (2008 ISI Impact Factor: 1,242, rank 20/214 Mathematics). 16. M. Mihailescu, V. R˘adulescu: Nonhomogeneous Neumann problems in Orlicz-Sobolev spaces, C. R. Acad. Sci. Paris, Ser. I 346 (2008), pag. 401–406 (2008 ISI Impact Factor: 0,392, rank 168/214 Mathematics). 17. M. Ghergu, V. R˘adulescu: A singular Gierer-Meinhardt system with different source terms, Proceedings of the Royal Society of Edinburgh: Section A (Mathe- matics) 138A (2008), pag. 1215–1234 (2008 ISI Impact Factor: 0,770, rank 66/214 Mathematics). 18. M. Mihailescu, V. R˘adulescu: Neumann problems associated to nonhomogeneous differen- tial operators in Orlicz-Sobolev spaces, Ann. Inst. Fourier 58 (2008), pag. 2087–2111 (2008 ISI Impact Factor: 0,802, rank 59/214 Mathematics). 19. M. Mihailescu, V. R˘adulescu: Spectrum in an unbounded interval for a class of nonho- mogeneous differential operators, Bull. London Math. Soc. 40 (2008), pag. 972–984 (2008 ISI Impact Factor: 0.668, rank 85/214 Mathematics). 20. Anca Capatina, H. Ene, G. Pa¸sa,D. Poliˇsevski,R. Stavre: Optimal relations between the parameters of a P.E.M. fuel cell, Math. Rep., 10(60), no. 4, (2008), pag. 299–308. 21. Juergen Sprekels, Dan Tiba: The control variational method for differential systems, SIAM J. Control Optim. 47 No.6(2008), pag. 3220 – 3236 22. G. Tomassini si V. Vajaitu: Weakly 1-complete surfaces with singularities and applica- tions. Michigan Math. J. 56 (2008), 483–494. 23. J. Itoh, J. Rouyer ¸siC. Vˆılcu: Antipodal convex hypersurfaces, Indag. Math. 19 (2008), pag. 411–426 2 1.2 In reviste non-ISI ale Academiei Romane 1. V. R˘adulescu: Combined effects in nonlinear singular elliptic problems with convection, Revue Roumaine de Math´ematiquesPures et Appliqu´ees53 (2008), pag. 543– 553. 1.3 In alte reviste 1. T. Albu: Completely irreducible meet decompositions in lattices, with applications to Grothendieck categories and torsion theories, IMAR Preprint Series, Preprint Nr. 10/2008 (Noiembrie 2008), 36 pagini. 2. M. Buliga: Spat¸iile neolonome ale lui Vr˘anceanu din punctul de vedere al geometriei distant¸ei, Gazeta Matematica A, No. 4 (2008), pag. 349 – 352 3. M. Cipu, F. Luca, M. Mignotte , Solutions of the Diophantine equation aux +bvy +cwz = n!, Annales Sci. Math. Qu´ebec, 31(2007), 127–137. 4. M. Mihailescu, V. R˘adulescu: Eigenvalue problems associated to nonhomogeneous differ- ential operators in Orlicz-Sobolev spaces, Analysis and Applications 6 (2008), pag. 83–98. 5. V. R˘adulescu: Rodrigues-type formulae for Hermite and Laguerre polynomials, An. St. Univ. Ovidius Constanta 16 (2008), pag. 109–116. 6. V. R˘adulescu: Combined effects of singular nonlinearities and potentials in elliptic equa- tions, Bull. St. Univ. Pitesti 14 (2008), pag. 95–112. 1.4 In volume de conferinte 1. M. Buliga: Self-similar dilatation structures and automata, Proceedings of the 6-th Congress of Romanian Mathematicians, Bucharest, 2007, vol. 1, pag. 557 – 564 ISBN: 978-973-27-1780-6 2. Raluca Dumitru Unitary representations of compact quantum groups, Perspectives in Operator Algebras and Mathematical Physics, Operator Algebras and Mathemat- ical Physics Conference, Bucharest, 2005 editori: Florin Petre Boca, Radu Purice, serban Stratila, Theta (2008), pag. 85 – 91 ISBN: 978-973-87899-1-3 3. A. Jensen, G. Nenciu: On the Fermi golden rule: degenerate eigenvalues, Perspectives in operator algebras and mathematical physics, Perspectives in operator algebras and mathematical physics, Bucharest August 10-17 2005, F.P. Boca, R.Purice, S. Stratila, Theta (2008), pag. 91–103 ISBN: 978-973-87899-1-3. 4. Florin Radulescu: The von Neumann algebra of the non-residually finite Baumslag group ha, b|ab3a−1 = b2i embeds into Rω, Hot topics in operator theory, editori: Ronald G. Douglas, Jean Esterle, Dumitru Ga?par, Dan Timotin and Florian-Horia Vasilescu, Theta (2008), pag.173-185. ISBN: 0000-0000 3 5. Florin Radulescu: A non-commutative, analytic version of Hilbertos 17th problem in type III von Neumann algebras Von Neumann Algebras in Sibiu editori: Kenneth Dykema, Florin Radulescu, Theta (2009), pag. 60-70. ISBN 0000-0000 1.5 Capitole in volume colective 1. T.-L. R˘adulescu,V. R˘adulescu: New trends of the mathematical education in Europe, Educatie-Identitate in Procesul Integrarii Romaniei in Uniunea Europeana, e- ditori: P. Alexandrescu, M. Cobianu-B˘acanu, I. B˘adescu,E. Dobrescu, Editura Academiei (2008), pag. 86–95, ISBN: 978-973-27-1760-8. 2 Carti publicate in 2008 2.1 In strainatate 1. M. Ghergu, V. R˘adulescu: Singular Elliptic Problems. Bifurcation and Asymptotic Analy- sis, Oxford Lecture Series in Mathematics and Its Applications, vol. 37, Oxford University Press (2008), pag. 320, ISBN-13: 9780195334722, ISBN-10: 0195334728. 2. V. R˘adulescu: Qualitative Analysis of Nonlinear Elliptic Partial Differential Equations: Monotonicity, Analytic, and Variational Methods, Contemporary Mathematics and Its Applications, vol. 6, Hindawi Publ. Corp. (2008), pag. 210, ISBN: 9789774540394. 3 Lucrari publicate in 2009 3.1 In reviste cotate ISI 1. T. Albu, J. Van Den Berg: An indecomposable non-locally finitely generated Grothendieck category with simple objects, Journal of Algebra 321 (2009), 1358–1545; 2. C. Ambrozie, V. M¨uller: Dominant Taylor spectrum and invariant subspaces, J. Opera- tor Theory 61:1 (2009), pag. 63–73 (grant 2-CEx06-11-34); 3. Marian F. Anton Homological symbols and the Quillen conjecture, J. Pure and Appl. Algebra, 213 (2009), no. 4, pag. 440 – 453 4. Lucian B˘adescuand Flavia Repetto: A Barth-Lefschetz theorem for submanifolds of a product of projective spaces, International Journal of Mathematics 20, No. 1 (2009), pag. 77–96. 5. Constantin N. Beli: Two conjectures by Zhi-Hong Sun, Acta Arithmetica 137 (2009), pag. 99-131. 6. Belinschi, Serban; Nica, Alexandru: Free Brownian Motion and Evolution Towards ¢- Infinite Divisibility for k-Tuples, International Journal of Mathematics. Volum 20 Issue 3 (2009), pag. 309 – 338. 4 7. Belinschi, Serban; Dembo, Amir; Guionnet, Alice: Spectral Measure of Heavy Tailed Band and Covariance Random Matrices, Communications in Mathematical Physics. Volum 289 Issue 3 (2009), pag. 1023 – 1055. 8. I. Beltit¸˘a,D. Beltit¸˘a: Magnetic pseudo-differential Weyl calculus on nilpotent Lie groups, Annals of Global Analysis and Geometry 36 (2009), no. 3, pag. 293–322. 9. D. Beltit¸˘a: Iwasawa decompositions of some infinite-dimensional Lie groups, Transac- tions of the American Mathematical Society 361 (2009), no. 12, 6613–6644. 10. I. Beltit¸˘a,A. Melin: Analysis of the quadratic term in the backscattering transformation, Math. Scand. 105 (2009), No. 2, pag. 218-234. 11. I. Beltit¸˘a,A. Melin: Local smoothing for the backscattering transform, Commun. Part. Diff. Equations 34 (2009), pag. 233-256. 12. Barbu Berceanu, Stefan Papadima Universal representations of braid and braid - permu- tation groups Journal of Knot Theory, volume 18, (2009), nr 7, pag.999-1019 13. Cristian Bereanu, Jean Mawhin: Nonhomogeneous boundary value problems for some nonlinear equations with singular φ-Laplacian, J. Math. Anal. Appl. 352 (2009), pag.