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Cambridge University Press 978-0-521-14735-4 - Probability on Graphs: Random Processes on Graphs and Lattices Geoffrey Grimmett Frontmatter More information Probability on Graphs This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. Schramm–Lowner¨ evolutions (SLE) arise in various contexts. The choice of topics is strongly motivated by modern applications and focuses on areas that merit further research. Special features include a simple account of Smirnov’s proof of Cardy’s formula for critical percolation, and a fairly full account of the theory of influence and sharp-thresholds. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises. geoffrey grimmett is Professor of Mathematical Statistics in the Statistical Laboratory at the University of Cambridge. © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-14735-4 - Probability on Graphs: Random Processes on Graphs and Lattices Geoffrey Grimmett Frontmatter More information INSTITUTE OF MATHEMATICAL STATISTICS TEXTBOOKS Editorial Board D. R. Cox (University of Oxford) B. Hambly (University of Oxford) S. Holmes (Stanford University) X.-L. Meng (Harvard University) IMS Textbooks give introductory accounts of topics of current concern suitable for advanced courses at master’s level, for doctoral students and for individual study. -
An Integrated Low Phase Noise Radiation-Pressure-Driven Optomechanical Oscillator Chipset
OPEN An integrated low phase noise SUBJECT AREAS: radiation-pressure-driven OPTICS AND PHOTONICS NANOSCIENCE AND optomechanical oscillator chipset TECHNOLOGY Xingsheng Luan1, Yongjun Huang1,2, Ying Li1, James F. McMillan1, Jiangjun Zheng1, Shu-Wei Huang1, Pin-Chun Hsieh1, Tingyi Gu1, Di Wang1, Archita Hati3, David A. Howe3, Guangjun Wen2, Mingbin Yu4, Received Guoqiang Lo4, Dim-Lee Kwong4 & Chee Wei Wong1 26 June 2014 Accepted 1Optical Nanostructures Laboratory, Columbia University, New York, NY 10027, USA, 2Key Laboratory of Broadband Optical 13 October 2014 Fiber Transmission & Communication Networks, School of Communication and Information Engineering, University of Electronic 3 Published Science and Technology of China, Chengdu, 611731, China, National Institute of Standards and Technology, Boulder, CO 4 30 October 2014 80303, USA, The Institute of Microelectronics, 11 Science Park Road, Singapore 117685, Singapore. High-quality frequency references are the cornerstones in position, navigation and timing applications of Correspondence and both scientific and commercial domains. Optomechanical oscillators, with direct coupling to requests for materials continuous-wave light and non-material-limited f 3 Q product, are long regarded as a potential platform for should be addressed to frequency reference in radio-frequency-photonic architectures. However, one major challenge is the compatibility with standard CMOS fabrication processes while maintaining optomechanical high quality X.L. (xl2354@ performance. Here we demonstrate the monolithic integration of photonic crystal optomechanical columbia.edu); Y.H. oscillators and on-chip high speed Ge detectors based on the silicon CMOS platform. With the generation of (yh2663@columbia. both high harmonics (up to 59th order) and subharmonics (down to 1/4), our chipset provides multiple edu) or C.W.W. -
June 2014 Society Meetings Society and Events SHEPHARD PRIZE: NEW PRIZE Meetings for MATHEMATICS 2014 and Events Following a Very Generous Tions Open in Late 2014
LONDONLONDON MATHEMATICALMATHEMATICAL SOCIETYSOCIETY NEWSLETTER No. 437 June 2014 Society Meetings Society and Events SHEPHARD PRIZE: NEW PRIZE Meetings FOR MATHEMATICS 2014 and Events Following a very generous tions open in late 2014. The prize Monday 16 June donation made by Professor may be awarded to either a single Midlands Regional Meeting, Loughborough Geoffrey Shephard, the London winner or jointly to collaborators. page 11 Mathematical Society will, in 2015, The mathematical contribution Friday 4 July introduce a new prize. The prize, to which an award will be made Graduate Student to be known as the Shephard must be published, though there Meeting, Prize will be awarded bienni- is no requirement that the pub- London ally. The award will be made to lication be in an LMS-published page 8 a mathematician (or mathemati- journal. Friday 4 July cians) based in the UK in recog- Professor Shephard himself is 1 Society Meeting nition of a specific contribution Professor of Mathematics at the Hardy Lecture to mathematics with a strong University of East Anglia whose London intuitive component which can be main fields of interest are in page 9 explained to those with little or convex geometry and tessella- Wednesday 9 July no knowledge of university math- tions. Professor Shephard is one LMS Popular Lectures ematics, though the work itself of the longest-standing members London may involve more advanced ideas. of the LMS, having given more page 17 The Society now actively en- than sixty years of membership. Tuesday 19 August courages members to consider The Society wishes to place on LMS Meeting and Reception nominees who could be put record its thanks for his support ICM 2014, Seoul forward for the award of a in the establishment of the new page 11 Shephard Prize when nomina- prize. -
Analysis and Design of Wideband LC Vcos
Analysis and Design of Wideband LC VCOs Axel Dominique Berny Robert G. Meyer Ali Niknejad Electrical Engineering and Computer Sciences University of California at Berkeley Technical Report No. UCB/EECS-2006-50 http://www.eecs.berkeley.edu/Pubs/TechRpts/2006/EECS-2006-50.html May 12, 2006 Copyright © 2006, by the author(s). All rights reserved. Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. To copy otherwise, to republish, to post on servers or to redistribute to lists, requires prior specific permission. Analysis and Design of Wideband LC VCOs by Axel Dominique Berny B.S. (University of Michigan, Ann Arbor) 2000 M.S. (University of California, Berkeley) 2002 A dissertation submitted in partial satisfaction of the requirements for the degree of Doctor of Philosophy in Electrical Engineering and Computer Sciences in the GRADUATE DIVISION of the UNIVERSITY OF CALIFORNIA, BERKELEY Committee in charge: Professor Robert G. Meyer, Co-chair Professor Ali M. Niknejad, Co-chair Professor Philip B. Stark Spring 2006 Analysis and Design of Wideband LC VCOs Copyright 2006 by Axel Dominique Berny 1 Abstract Analysis and Design of Wideband LC VCOs by Axel Dominique Berny Doctor of Philosophy in Electrical Engineering and Computer Sciences University of California, Berkeley Professor Robert G. Meyer, Co-chair Professor Ali M. Niknejad, Co-chair The growing demand for higher data transfer rates and lower power consumption has had a major impact on the design of RF communication systems. -
Modeling the Impact of Phase Noise on the Performance of Crystal-Free Radios Osama Khan, Brad Wheeler, Filip Maksimovic, David Burnett, Ali M
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS—II: EXPRESS BRIEFS, VOL. 64, NO. 7, JULY 2017 777 Modeling the Impact of Phase Noise on the Performance of Crystal-Free Radios Osama Khan, Brad Wheeler, Filip Maksimovic, David Burnett, Ali M. Niknejad, and Kris Pister Abstract—We propose a crystal-free radio receiver exploiting a free-running oscillator as a local oscillator (LO) while simulta- neously satisfying the 1% packet error rate (PER) specification of the IEEE 802.15.4 standard. This results in significant power savings for wireless communication in millimeter-scale microsys- tems targeting Internet of Things applications. A discrete time simulation method is presented that accurately captures the phase noise (PN) of a free-running oscillator used as an LO in a crystal- free radio receiver. This model is then used to quantify the impact of LO PN on the communication system performance of the IEEE 802.15.4 standard compliant receiver. It is found that the equiv- alent signal-to-noise ratio is limited to ∼8 dB for a 75-µW ring oscillator PN profile and to ∼10 dB for a 240-µW LC oscillator PN profile in an AWGN channel satisfying the standard’s 1% PER specification. Index Terms—Crystal-free radio, discrete time phase noise Fig. 1. Typical PN plot of an RF oscillator locked to a stable crystal frequency modeling, free-running oscillators, IEEE 802.15.4, incoherent reference. matched filter, Internet of Things (IoT), low-power radio, min- imum shift keying (MSK) modulation, O-QPSK modulation, power law noise, quartz crystal (XTAL), wireless communication. -
Understanding Phase Error and Jitter: Definitions, Implications
This article has been accepted for inclusion in a future issue of this journal. Content is final as presented, with the exception of pagination. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS–I: REGULAR PAPERS 1 Understanding Phase Error and Jitter: Definitions, Implications, Simulations, and Measurement Ian Galton , Fellow, IEEE, and Colin Weltin-Wu, Member, IEEE (Invited Paper) Abstract— Precision oscillators are ubiquitous in modern elec- multiplication by a sinusoidal oscillator signal whereas most tronic systems, and their accuracy often limits the performance practical mixer circuits perform multiplication by squared-up of such systems. Hence, a deep understanding of how oscillator oscillator signals. Fundamental questions typically are left performance is quantified, simulated, and measured, and how unanswered such as: How does the squaring-up process change it affects the system performance is essential for designers. the oscillator error? How does multiplying by a squared-up Unfortunately, the necessary information is spread thinly across oscillator signal instead of a sinusoidal signal change a mixer’s the published literature and textbooks with widely varying notations and some critical disconnects. This paper addresses this behavior and response to oscillator error? problem by presenting a comprehensive one-stop explanation of Another obstacle to learning the material is that there are how oscillator error is quantified, simulated, and measured in three distinct oscillator error metrics in common use: phase practice, and the effects of oscillator error in typical oscillator error, jitter, and frequency stability. Each metric offers advan- applications. tages in certain applications, so it is important to understand Index Terms— Oscillator phase error, phase noise, jitter, how they relate to each other, yet with the exception of [1], frequency stability, Allan variance, frequency synthesizer, crystal, the authors are not aware of prior publications that provide phase-locked loop (PLL). -
List of the Various Endowment Awards and the Previous Awardees of the Respective Awards
.List of the various Endowment Awards and the previous Awardees of the respective Awards 1. Acharya P. C. Ray Memorial Award: (Annual) Specialization: This award is to be given to an eminent chemist of any specialization. List of Acharya P. C. Ray Memorial Past Lecturers Year Recipient & Place Year Recipient & Place 1968 Prof. R. N. Chakraborty, Calcutta* 1998 Prof. G. Govil, Mumbai 1969 Prof. S. C. Bhattacharyya, Calcutta 1999 Prof. P. Natarajan, Chennai 1970 Dr. Sukh Dev, Baroda 2000 Prof. D. S. Bhakuni, Lucknow 1971 Prof. D. K. Banerjee, Bangalore 2001 Prof. G. K. Trivedi, Mumbai 1972 Dr. Nitya Nand, Lucknow 2002 Prof. N. G. Kundu, Kolkata 1973 Prof. S. Rangaswami, Delhi 2003 Prof. Rakesh Bohra, Jaipur 1974 Prof.(Mrs.) Asima Chatterjee, Calcutta* 2004 Prof. V. S. Chauhan, New Delhi 1976 Dr. T.R. Govindachari, Madras* 2005 Prof. Sudarsan Arora, Pune 1977 Prof. R. C. Mehrotra, Jaipur* 2006 Prof. U. C. Agarwala, Kanpur 1978 Dr. B. D. Tilak, Poona 2007 Prof. N. K. Kausik, Delhi 1979 Prof. P. K. Bhattacharya, Bangalore* 2008 Prof. Tulsi Mukherjee, Mumbai. 1980 Prof. Arun K. Dey, Allahabad* 2009 Dr. K. N. Ganesh, NCL, Pune 1981 Prof. S. Swaminathan, Madras 2010 Dr. Ashok Misra, Bengaluru 1982 Prof. K. C. Joshi, Jaipur 2011 Prof. R.V. Hosur, Mumbai 1983 Prof. R. C. Kapoor, Jodhpur* 2012 Prof. A.K. Mishra, IIT, Chennai 1984 Prof. C. N. R. Rao, Bangalore 2013 Prof. Deb Shankar Ray, Kolkata 1985 Prof. U. R. Ghatak, Calcutta* 2014 Prof. G.D. Yadav, ICT, Mumbai 1986 Prof. D. Banerjea, Calcutta 2015 Prof. Mihir Kanti Chaudhuri, Tezpur 1987 Prof. -
Annual Report 2017-2018
ANNUAL REPORT IISc 2017-18 INDIAN INSTITUTE OF SCIENCE VISITOR The President of India PRESIDENT OF THE COURT N Chandrasekaran CHAIRMAN OF THE COUNCIL P Rama Rao DIRECTOR Anurag Kumar DEANS SCIENCE: Biman Bagchi ENGINEERING: K Kesava Rao UG PROGRAMME: Anjali A Karande REGISTRAR V Rajarajan Pg 3 IISc RANKED INDIA’S TOP UNIVERSITY In 2016, IISc was ranked Number 1 among universities by the National Institutional Ranking Framework (NIRF) under the auspices of the Ministry of Human Resource Development. It was the first time the NIRF came out with rankings for Indian universities and institutions of higher education. In both 2017 and 2018, the Institute was again ranked first among universities, as well as first in the overall category. CONTENTS Foreword IISc at a Glance 8 1. The Institute 18 Court 5 Council 20 Finance Committee 21 Senate 21 Faculties 21 2. Staff (administration) 22 3. Divisions 25 3.1 Biological Sciences 26 3.2 Chemical Sciences 58 3.3 Electrical, Electronics, and Computer Sciences 86 3.4 Interdisciplinary Research 110 3.5 Mechanical Sciences 140 3.6 Physical and Mathematical Science 180 3.7 Centres under the Director 206 4. Undergraduate Programme 252 5. Awards/Distinctions 254 6. Students 266 6.1 Admissions & On Roll 267 6.2 SC/ST Students 267 6.3 Scholarships/Fellowships 267 6.4 Assistance Programme 267 6.5 Students Council 267 6.6 Hostels 267 6.7 Institute Medals 268 6.8 Awards & Distinctions 269 6.9 Placement 279 6.10 External Registration Program 279 6.11 Research Conferments 280 7. Events 300 7.1 Institute Lectures 310 7.2 Conferences/Seminars/Symposia/Workshops 302 8. -
Probability on Graphs Random Processes on Graphs and Lattices
Probability on Graphs Random Processes on Graphs and Lattices GEOFFREY GRIMMETT Statistical Laboratory University of Cambridge c G. R. Grimmett 1/4/10, 17/11/10, 5/7/12 Geoffrey Grimmett Statistical Laboratory Centre for Mathematical Sciences University of Cambridge Wilberforce Road Cambridge CB3 0WB United Kingdom 2000 MSC: (Primary) 60K35, 82B20, (Secondary) 05C80, 82B43, 82C22 With 44 Figures c G. R. Grimmett 1/4/10, 17/11/10, 5/7/12 Contents Preface ix 1 Random walks on graphs 1 1.1 RandomwalksandreversibleMarkovchains 1 1.2 Electrical networks 3 1.3 Flowsandenergy 8 1.4 Recurrenceandresistance 11 1.5 Polya's theorem 14 1.6 Graphtheory 16 1.7 Exercises 18 2 Uniform spanning tree 21 2.1 De®nition 21 2.2 Wilson's algorithm 23 2.3 Weak limits on lattices 28 2.4 Uniform forest 31 2.5 Schramm±LownerevolutionsÈ 32 2.6 Exercises 37 3 Percolation and self-avoiding walk 39 3.1 Percolationandphasetransition 39 3.2 Self-avoiding walks 42 3.3 Coupledpercolation 45 3.4 Orientedpercolation 45 3.5 Exercises 48 4 Association and in¯uence 50 4.1 Holley inequality 50 4.2 FKGinequality 53 4.3 BK inequality 54 4.4 Hoeffdinginequality 56 c G. R. Grimmett 1/4/10, 17/11/10, 5/7/12 vi Contents 4.5 In¯uenceforproductmeasures 58 4.6 Proofsofin¯uencetheorems 63 4.7 Russo'sformulaandsharpthresholds 75 4.8 Exercises 78 5 Further percolation 81 5.1 Subcritical phase 81 5.2 Supercritical phase 86 5.3 Uniquenessofthein®nitecluster 92 5.4 Phase transition 95 5.5 Openpathsinannuli 99 5.6 The critical probability in two dimensions 103 5.7 Cardy's formula 110 5.8 The -
Profile Book 2017
MATH MEMBERS A. Raghuram Debargha Banerjee Neeraj Deshmukh Sneha Jondhale Abhinav Sahani Debarun Ghosh Neha Malik Soumen Maity Advait Phanse Deeksha Adil Neha Prabhu Souptik Chakraborty Ajith Nair Diganta Borah Omkar Manjarekar Steven Spallone Aman Jhinga Dileep Alla Onkar Kale Subham De Amit Hogadi Dilpreet Papia Bera Sudipa Mondal Anindya Goswami Garima Agarwal Prabhat Kushwaha Supriya Pisolkar Anisa Chorwadwala Girish Kulkarni Pralhad Shinde Surajprakash Yadav Anup Biswas Gunja Sachdeva Rabeya Basu Sushil Bhunia Anupam Kumar Singh Jyotirmoy Ganguly Rama Mishra Suvarna Gharat Ayan Mahalanobis Kalpesh Pednekar Ramya Nair Tathagata Mandal Ayesha Fatima Kaneenika Sinha Ratna Pal Tejas Kalelkar Baskar Balasubramanyam Kartik Roy Rijubrata Kundu Tian An Wong Basudev Pattanayak Krishna Kaipa Rohit Holkar Uday Bhaskar Sharma Chaitanya Ambi Krishna Kishore Rohit Joshi Uday Jagadale Chandrasheel Bhagwat Makarand Sarnobat Shane D'Mello Uttara Naik-Nimbalkar Chitrabhanu Chaudhuri Manidipa Pal Shashikant Ghanwat Varun Prasad Chris John Manish Mishra Shipra Kumar Venkata Krishna Debangana Mukherjee Milan Kumar Das Shuvamkant Tripathi Visakh Narayanan Debaprasanna Kar Mousomi Bhakta Sidharth Vivek Mohan Mallick Compiling, Editing and Design: Shanti Kalipatnapu, Kranthi Thiyyagura, Chandrasheel Bhagwat, Anisa Chorwadwala Art on the Cover: Sinjini Bhattacharjee, Arghya Rakshit Photo Courtesy: IISER Pune Math Members 2017 IISER Pune Math Book WELCOME MESSAGE BY COORDINATOR I have now completed over five years at IISER Pune, and am now in my sixth and possibly final year as Coordinator for Mathematics. I am going to resist the temptation of evaluating myself as to what I have or have not accomplished as head of mathematics, although I do believe that it’s always fruitful to take stock, to become aware of one’s strengths, and perhaps even more so of one’s weaknesses, especially when the goal we have set for ourselves is to become a strong force in the international world of Mathematics. -
Advanced Bridge (Interferometric) Phase and Amplitude Noise Measurements
Advanced bridge (interferometric) phase and amplitude noise measurements Enrico Rubiola∗ Vincent Giordano† Cite this article as: E. Rubiola, V. Giordano, “Advanced interferometric phase and amplitude noise measurements”, Review of Scientific Instruments vol. 73 no. 6 pp. 2445–2457, June 2002 Abstract The measurement of the close-to-the-carrier noise of two-port radiofre- quency and microwave devices is a relevant issue in time and frequency metrology and in some fields of electronics, physics and optics. While phase noise is the main concern, amplitude noise is often of interest. Presently the highest sensitivity is achieved with the interferometric method, that consists of the amplification and synchronous detection of the noise sidebands after suppressing the carrier by vector subtraction of an equal signal. A substantial progress in understanding the flicker noise mecha- nism of the interferometer results in new schemes that improve by 20–30 dB the sensitivity at low Fourier frequencies. These schemes, based on two or three nested interferometers and vector detection of noise, also feature closed-loop carrier suppression control, simplified calibration, and intrinsically high immunity to mechanical vibrations. The paper provides the complete theory and detailed design criteria, and reports on the implementation of a prototype working at the carrier frequency of 100 MHz. In real-time measurements, a background noise of −175 to −180 dB dBrad2/Hz has been obtained at f = 1 Hz off the carrier; the white noise floor is limited by the thermal energy kB T0 referred to the carrier power P0 and by the noise figure of an amplifier. Exploiting correlation and averaging in similar conditions, the sensitivity exceeds −185 dBrad2/Hz at f = 1 Hz; the white noise floor is limited by thermal uniformity rather than by the absolute temperature. -
Analysis of Oscillator Phase-Noise Effects on Self-Interference Cancellation in Full-Duplex OFDM Radio Transceivers
Revised manuscript for IEEE Transactions on Wireless Communications 1 Analysis of Oscillator Phase-Noise Effects on Self-Interference Cancellation in Full-Duplex OFDM Radio Transceivers Ville Syrjälä, Member, IEEE, Mikko Valkama, Member, IEEE, Lauri Anttila, Member, IEEE, Taneli Riihonen, Student Member, IEEE and Dani Korpi Abstract—This paper addresses the analysis of oscillator phase- recently [1], [2], [3], [4], [5]. Such full-duplex radio noise effects on the self-interference cancellation capability of full- technology has many benefits over the conventional time- duplex direct-conversion radio transceivers. Closed-form solutions division duplexing (TDD) and frequency-division duplexing are derived for the power of the residual self-interference stemming from phase noise in two alternative cases of having either (FDD) based communications. When transmission and independent oscillators or the same oscillator at the transmitter reception happen at the same time and at the same frequency, and receiver chains of the full-duplex transceiver. The results show spectral efficiency is obviously increasing, and can in theory that phase noise has a severe effect on self-interference cancellation even be doubled compared to TDD and FDD, given that the in both of the considered cases, and that by using the common oscillator in upconversion and downconversion results in clearly SI problem can be solved [1]. Furthermore, from wireless lower residual self-interference levels. The results also show that it network perspective, the frequency planning gets simpler, is in general vital to use high quality oscillators in full-duplex since only a single frequency is needed and is shared between transceivers, or have some means for phase noise estimation and uplink and downlink.