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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. -
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. -
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 -
King's College Boat Club, Cambridge Henry's VIII Lent 2012
King’s College Boat Club, Cambridge Henry’s VIII Lent 2012 - Easter 2013 May 15, 2014 Cover photo: King’s M1 at Henley Royal Regatta after qualifying for the Temple Challenge Cup 3 Note from the Editors Welcome to this special edition of Henry’s Eight, which will bring you news of the club’s progress up to the start of this academic year. Apologies again for the lateness of this issue; the KCBC committee have decided to modify the format of future editions. As of the 2014-15 academic year, we will be moving to a termly newsletter to make the task of collating and editing this newsletter more manageable. Alongside these changes, we are hoping that many of you will be willing to make a shift to receiving only electronic copies of the newsletter. Alongside this newsletter, you can always keep track of KCBC’s progress on our website at www.kingsboatclub.com where you can find latest news, full race reports and crew lists. Included with this edition, you should have also received a copy of KCBC’s Corporate Sponsorship pamphlet, as we are currently searching for sponsorship to support the day to day running of the club. If you or your company think you may be able to help, we’d love to hear from you. Contact details are included in the pamphlet. Last, but certainly not least, we are very excited to bring you news of the plans for a new Combined Boathouse for King’s, Selwyn, Churchill and the Leys School. The project is now advancing into the planning application stages, and so we have included some of the architect’s images at the back of this newslet- ter. -
Scheme of Instruction 2021 - 2022
Scheme of Instruction Academic Year 2021-22 Part-A (August Semester) 1 Index Department Course Prefix Page No Preface : SCC Chair 4 Division of Biological Sciences Preface 6 Biological Science DB 8 Biochemistry BC 9 Ecological Sciences EC 11 Neuroscience NS 13 Microbiology and Cell Biology MC 15 Molecular Biophysics Unit MB 18 Molecular Reproduction Development and Genetics RD 20 Division of Chemical Sciences Preface 21 Chemical Science CD 23 Inorganic and Physical Chemistry IP 26 Materials Research Centre MR 28 Organic Chemistry OC 29 Solid State and Structural Chemistry SS 31 Division of Physical and Mathematical Sciences Preface 33 High Energy Physics HE 34 Instrumentation and Applied Physics IN 38 Mathematics MA 40 Physics PH 49 Division of Electrical, Electronics and Computer Sciences (EECS) Preface 59 Computer Science and Automation E0, E1 60 Electrical Communication Engineering CN,E1,E2,E3,E8,E9,MV 68 Electrical Engineering E0,E1,E4,E5,E6,E8,E9 78 Electronic Systems Engineering E0,E2,E3,E9 86 Division of Mechanical Sciences Preface 95 Aerospace Engineering AE 96 Atmospheric and Oceanic Sciences AS 101 Civil Engineering CE 104 Chemical Engineering CH 112 Mechanical Engineering ME 116 Materials Engineering MT 122 Product Design and Manufacturing MN, PD 127 Sustainable Technologies ST 133 Earth Sciences ES 136 Division of Interdisciplinary Research Preface 139 Biosystems Science and Engineering BE 140 Scheme of Instruction 2021 - 2022 2 Energy Research ER 144 Computational and Data Sciences DS 145 Nanoscience and Engineering NE 150 Management Studies MG 155 Cyber Physical Systems CP 160 Scheme of Instruction 2020 - 2021 3 Preface The Scheme of Instruction (SoI) and Student Information Handbook (Handbook) contain the courses and rules and regulations related to student life in the Indian Institute of Science. -
'The Admiralty War Staff and Its Influence on the Conduct of The
‘The Admiralty War Staff and its influence on the conduct of the naval between 1914 and 1918.’ Nicholas Duncan Black University College University of London. Ph.D. Thesis. 2005. UMI Number: U592637 All rights reserved INFORMATION TO ALL USERS The quality of this reproduction is dependent upon the quality of the copy submitted. In the unlikely event that the author did not send a complete manuscript and there are missing pages, these will be noted. Also, if material had to be removed, a note will indicate the deletion. Dissertation Publishing UMI U592637 Published by ProQuest LLC 2013. Copyright in the Dissertation held by the Author. Microform Edition © ProQuest LLC. All rights reserved. This work is protected against unauthorized copying under Title 17, United States Code. ProQuest LLC 789 East Eisenhower Parkway P.O. Box 1346 Ann Arbor, Ml 48106-1346 CONTENTS Page Abstract 4 Acknowledgements 5 Abbreviations 6 Introduction 9 Chapter 1. 23 The Admiralty War Staff, 1912-1918. An analysis of the personnel. Chapter 2. 55 The establishment of the War Staff, and its work before the outbreak of war in August 1914. Chapter 3. 78 The Churchill-Battenberg Regime, August-October 1914. Chapter 4. 103 The Churchill-Fisher Regime, October 1914 - May 1915. Chapter 5. 130 The Balfour-Jackson Regime, May 1915 - November 1916. Figure 5.1: Range of battle outcomes based on differing uses of the 5BS and 3BCS 156 Chapter 6: 167 The Jellicoe Era, November 1916 - December 1917. Chapter 7. 206 The Geddes-Wemyss Regime, December 1917 - November 1918 Conclusion 226 Appendices 236 Appendix A. -
Clare News, Clare College, Trinity Lane, Clare and WW1 Page 36 Cambridge CB2 1TL +44 (0)1223 333218 [email protected]
Clare News 2016-17 EDITION 34 THE MASTER In this issue Welcome from the Master Page 3 Achievements and Honours Page 5 Publications Page 6 College News Page 8 Alumni Page 15 Development Report Page 25 Editor: Georgie Plunkett Design: www.cantellday.co.uk Photography: Hannah Sharples, Sport Page 28 Georgie Plunkett Contact: Music and Art Page 31 The Editor – Clare News, Clare College, Trinity Lane, Clare and WW1 Page 36 Cambridge CB2 1TL +44 (0)1223 333218 [email protected] www.clarealumni.com © Clare College 2016-17. All rights reserved. Upcoming events are listed on the back cover 2 CLARE NEWS SUMMER 2014 THE MASTER Welcome from the Master It is a great pleasure to welcome you to the latest edition of Clare News. I hope you enjoy reading about the many events that have taken place in College, and that you are able to come and visit the College again soon. It has been a full year. Sadly, it began with been honoured both in the UK and abroad. the death of one of our students, Georgia Our alumnus of the year for 2016, Graham Betteridge. Georgia, who was studying Serjeant, visited the College in March and Human, Social, and Political Science, had gave a fascinating talk on his pioneering been unable to complete her second year, work treating Sickle-cell disease; Professor Sir and passed away in October. Our thoughts Andrew Wiles was awarded the Abel Prize for were, and remain, with her family and friends. 2016 for his proof of Fermat’s Last Theorem; and Jo Bailey Wells, former Chaplain and In January, the Chancellor of the University, Dean at Clare, became the first woman Lord Sainsbury of Turville, who is the ex officio associated with the College to be appointed College Visitor, paid the College an unofficial as a Bishop in the Church of England. -
Striking a Balance Between Dissent and Discipline: Admiral Sir Reginald Drax Robert L. Davison
Striking a Balance between Dissent and Discipline: Admiral Sir Reginald Drax Robert L. Davison L'amiral Sir Reginald A. R. Plunkett-Ernle-Erle-Drax a été un des officiers les plus doués de la British Royal Navy au cours de la première moitié du 20e siècle, et un des premiers officiers d'état-major qualifié de la Navy. L'amiral Drax a oeuvré pour que le personnel au niveau du travail soit reconnu par le service et a été un des membres fondateurs de la Naval Review. Il a pleinement participé aux réformes de la révolution de la Navy mais a réalisé que la passion pour la réforme doit être équilibré d'une acuité politique. Contrairement aux autres, il a travaillé avec diligence pour encourager les changements professionnels dans le cadre de l'organisme. Instead of the brain being an active and productive machine, a thing of vast constructive power, we try to make it a cross between a museum and a lost- property office. -Commander R. Plunket, 1913' Military organisations have a deserved reputation for resisting change, and the Royal Navy has been one of the principal offenders, or so we have been told by disgruntled officers such as Admirals Herbert Richmond, Kenneth Dewar and Percy Scott.2 The experiences of these men have coloured the historiography to such an extent that other officers advocating reform less stridently are largely forgotten. Although these men have not left volumes of memoirs, masses of private papers or newspapers commentaries, their work was vital. Not only did many gain their "brass hats" as senior executive officers but often reached flag rank and served in important posts ashore and afloat.3 1 Drax, "Naval Education," Naval Review, I (1913), 28. -
A History of the Fellows' Boat 1970-2011
NUNQUAM CAPUT FLUMINIS: CHRONICLE OF THE LADY MARGARET FELLOWS BOAT, 1970-2011 Updated to 18th June 2011 by Tim Bayliss-Smith Prologue 2 The Dark Ages Mays 1970 2 Mays 1971 4 Mays 1972 5 Mays 1973 6 Easter Term 1974 7 The Middle Ages Easter Term 1979 7 Modern Times Mays 1983 8 Mays 1984 9 Mays 1985 9 Mays 1987 10 Mays 1988 11 Mays 1989 11 Mays 1990 13 Mays 1991 14 Lents 1992 15 Mays 1992 16 Mays 1993 17 Mays 1994 18 Mays 1996 19 Mays 1997 19 Easter Term 1998 20 Mays 1999 21 Mays 2000 22 Mays 2001 23 Mays 2002 25 Mays 2003 28 Michaelmas Term 2003 30 Mays 2004 31 Mays 2006 33 Mays 2011 34 Ups and Downs, 1983-2011 37 !2 PROLOGUE A few years ago, in an upstairs room in New Court, St John's College, archaeologists discovered an interesting artefact, believed to be an oar. It is shaped like a gigantic toothpick and is a faded red colour. Engraved upon there are some unlikely names, written in an archaic gothic script. They include “G.A. Reid”, “R.N. Perham”, “A.A. Macintosh”, and the date “1973”. It was once possible to study the artefact itself on the wall of the Senior Bursar's office, during quieter moments of Finance Committee meetings. There is a matching example in the Small Combination Room. These objects are surviving traces of the original Fellows Boat, whose very existence had faded into the realms of myth and legend before the onset of my own chronicle, begun in 1983 and periodically updated ever since. -
Postmaster and the Merton Record 2019
Postmaster & The Merton Record 2019 Merton College Oxford OX1 4JD Telephone +44 (0)1865 276310 www.merton.ox.ac.uk Contents College News Edited by Timothy Foot (2011), Claire Spence-Parsons, Dr Duncan From the Acting Warden......................................................................4 Barker and Philippa Logan. JCR News .................................................................................................6 Front cover image MCR News ...............................................................................................8 St Alban’s Quad from the JCR, during the Merton Merton Sport ........................................................................................10 Society Garden Party 2019. Photograph by John Cairns. Hockey, Rugby, Tennis, Men’s Rowing, Women’s Rowing, Athletics, Cricket, Sports Overview, Blues & Haigh Awards Additional images (unless credited) 4: Ian Wallman Clubs & Societies ................................................................................22 8, 33: Valerian Chen (2016) Halsbury Society, History Society, Roger Bacon Society, 10, 13, 36, 37, 40, 86, 95, 116: John Cairns (www. Neave Society, Christian Union, Bodley Club, Mathematics Society, johncairns.co.uk) Tinbergen Society 12: Callum Schafer (Mansfield, 2017) 14, 15: Maria Salaru (St Antony’s, 2011) Interdisciplinary Groups ....................................................................32 16, 22, 23, 24, 80: Joseph Rhee (2018) Ockham Lectures, History of the Book Group 28, 32, 99, 103, 104, 108, 109: Timothy Foot -
Christmas Head - 5 December 2020 Competitor Instructions
Christmas Head - 5 December 2020 Competitor Instructions This document covers: 1. Entries 7. Safety 2. Pre-Race and boating 8. Contacts 3. Marshalling 9. Course Map 4. Racing 10. Emergency Access points 5. Prizes 11. QR Code for Participants 6. COVID-19 Protocols 1. Entries Entries are invited from clubs that normally boat on the Cam between Jesus Lock and Green Dragon Bridge. “Off Cam” crews may only enter by prior and special agreement from the Events Secretary. Events will be held for each boat class across Open, Women’s and Mixed categories and in: 8+, 8x+, 4-, 4+, 4x, 4x+, 2-, 2x, 1x • CRA events will be banded as follows: • Championship – any crew containing at least one member (excluding the coxswain) has competed at a national regatta event (in any country) such as HRR, HWR, BR Senior and Junior Championships, Wallingford Regatta, Nottingham Regatta, Metropolitan Regatta, Marlow Regatta in the last three seasons (ie from September 2017) • Club – any crew where at least one member (excluding the coxswain) started rowing prior to January 2019. Crews must not contain any member who has competed at a national regatta event in the last three seasons (see above) • Novice – any crew where all the members of the crew had not started rowing prior to January 2019 or where no member of the crew has won a British Rowing or CRA regatta or head race. • Masters – Categories from Masters A to G as defined by British Rowing • Juniors – Categories from J13 to J18 as defined by British Rowing • Student events will be banded as follows: • Bumps Division 1 Crews – Any crew containing at least one member (excluding the coxswain) who has rowed in Division 1 of the Lent or May Bumps • Bumps Division 2 Crews - Any crew containing at least one member (excluding the coxswain) who has rowed in Division 2 of the Lent Bumps or May Bumps. -
2017 Edition 35 the Master
Clare News 2017 EDITION 35 THE MASTER In this issue Welcome from the Master Page 3 Achievements and Honours Page 5 Old Court Page 6 College News Page 10 Student Life Page 17 Sport Page 21 Page 22 Editor: Hannah Sharples Alumni Stories Design: www.cantellday.co.uk Photography: Hannah Sharples, Fellows’ Research Page 28 Helen Knowles Front Cover image: Nick Rutter Samuel Blythe Society Page 33 Contact: Publications Page 34 The Editor – Clare News, Clare College, Social Media Page 38 Trinity Lane, Cambridge CB2 1TL +44 (0)1223 333218 A Year in Clare Page 39 [email protected] www.clarealumni.com © Clare College 2017-18. All rights reserved. Forthcoming events are listed on the back cover 2 CLARE NEWS SUMMER 2014 THE MASTER Welcome from the Master I am delighted to present the latest edition of Clare News. As you will see from our contributors, a Clare education can take you far across the globe, and it is always a pleasure to keep our alumni and friends updated on what has been happening in College. Clare has had another excellent year, both Jane is a Senior Social Development Adviser academically and otherwise. One current at the UK Government’s Department for Clare Fellow and two alumnae of the International Development (DFID), and she College were this year elected to the Royal was awarded an OBE in the Queen’s 2015 Society, the self-governing Fellowship of Birthday Honours. During her time at DFID the most eminent scientists, engineers Jane’s work has included urban poverty, and technologists from the UK and the social exclusion, fragile states, and ending Commonwealth.