Dr Mark WaltersReader in Pure MathematicsEmail: m.walters@qmul.ac.ukTelephone: +44 (0)20 7882 5446Room Number: Mathematical Sciences Building, Room: MB-427Website: http://www.maths.qmul.ac.uk/~waltersOffice Hours: Please email for an appointmentProfileResearchPublicationsProfileMark Walters is a Reader in Pure Mathematics in the School of Mathematical Sciences. His research interests are in Combinatorics, particularly Random Combinatorics, including Percolation. Before joining Queen Mary he completed a PhD at the University of Cambridge, and then held a research fellowship in Trinity College, Cambridge followed by a teaching fellowship at Peterhouse, Cambridge. ResearchResearch Interests:See Mark Walters' research profile pages including details of research interests, publications, and live grants. Publications Walters M, Johnson JR (2024). Optimal Resistor Networks Mathematika nameOfConference. 10.1112/mtk.12278 https://qmro.qmul.ac.uk/xmlui/handle/123456789/98921 Ivan M-R, Leader I, Walters M (2022). Constructible graphs and pursuit Theoretical Computer Science nameOfConference. 10.1016/j.tcs.2022.07.023 https://qmro.qmul.ac.uk/xmlui/handle/123456789/98840 Leader I, Letzter S, Narayanan B et al. (2019). Product-free sets in the free semigroup European Journal of Combinatorics nameOfConference. 10.1016/j.ejc.2019.103003 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/62224 Balister P, Bollobás B, Gunderson K et al. (2018). Random geometric graphs and isometries of normed spaces Transactions of the American Mathematical Society nameOfConference. 10.1090/tran/7420 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/26943 Balister P, Bollobas B, Haenggi M et al. (2017). Sentry selection in senso rnetworks: theory and algorithms INTERNATIONAL JOURNAL OF SENSOR NETWORKS nameOfConference. 10.1504/IJSNET.2015.10001255 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/19029 JOHNSON JR, Leader I, Walters M (2017). Transitive Avoidance Games The Electronic Journal of Combinatorics nameOfConference. doi https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/22494 Balister PB, Bollobas B, Furedi Z et al. (2016). Subtended Angles Israel Journal of Mathematics nameOfConference. 10.1007/s11856-016-1370-1 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/14877 Erde J, Walters M (2016). An n-in-a-row type game ELECTRONIC JOURNAL OF COMBINATORICS nameOfConference. doi https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/17988 Balister P, Bollobás B, Sarkar A et al. (2009). A critical constant for the k nearest-neighbour model Advances in Applied Probability nameOfConference. 10.1017/s0001867800003116 qmroHref Balister P, Bollobás B, Sarkar A et al. (2005). Connectivity of random k-nearest-neighbour graphs Advances in Applied Probability nameOfConference. 10.1017/s000186780000001x qmroHref Balister P, Bollobás B, Walters M (2009). Random transceiver networks Advances in Applied Probability nameOfConference. 10.1017/s0001867800003311 qmroHref Balister P, Bollobás B, Sarkar A et al. (2010). Sentry Selection in Wireless Networks Advances in Applied Probability nameOfConference. 10.1017/s0001867800003888 qmroHref Falgas-Ravry V, Walters M (2012). Sharpness in the k-Nearest-Neighbours Random Geometric Graph Model Advances in Applied Probability nameOfConference. 10.1017/s0001867800005802 qmroHref Russell PA, Walters M (2013). Probably Intersecting Families are Not Nested COMBINATORICS PROBABILITY & COMPUTING nameOfConference. 10.1017/S0963548312000387 qmroHref Falgas-Ravry V, Walters M (2012). SHARPNESS IN THE k-NEAREST-NEIGHBOURS RANDOM GEOMETRIC GRAPH MODEL ADVANCES IN APPLIED PROBABILITY nameOfConference. 10.1239/aap/1113402397 qmroHref Walters M (2012). Small components in k-nearest neighbour graphs DISCRETE APPLIED MATHEMATICS nameOfConference. 10.1016/j.dam.2012.03.033 qmroHref Bollobas B, Leader I, Walters M (2012). Lion and man-can both win? ISRAEL JOURNAL OF MATHEMATICS nameOfConference. 10.1007/s11856-011-0158-6 qmroHref Leader I, Russell PA, Walters M (2012). Transitive sets in Euclidean Ramsey theory JOURNAL OF COMBINATORIAL THEORY SERIES A nameOfConference. 10.1016/j.jcta.2011.09.005 qmroHref Balogh J, Bollobas B, Krivelevich M et al. (2011). HAMILTON CYCLES IN RANDOM GEOMETRIC GRAPHS ANN APPL PROBAB nameOfConference. 10.1214/10-AAP718 qmroHref Leader I, Russell PA, Walters M (2011). Transitive sets and cyclic quadrilaterals Journal of Combinatorics nameOfConference. 10.4310/joc.2011.v2.n3.a6 qmroHref Balister P, Bollobas B, Johnson JR et al. (2010). Random Majority Percolation RANDOM STRUCT ALGOR nameOfConference. 10.1002/rsa.20281 qmroHref Balister P, Bollobas B, Sarkar A et al. (2010). SENTRY SELECTION IN WIRELESS NETWORKS ADV APPL PROBAB nameOfConference. 10.1239/aap/1269611141 qmroHref Balister P, Bollobas B, Walters M (2009). RANDOM TRANSCEIVER NETWORKS ADV APPL PROBAB nameOfConference. 10.1239/aap/1246886613 qmroHref Walters M (2009). Rectangles as sums of squares DISCRETE MATH nameOfConference. 10.1016/j.disc.2008.07.028 qmroHref Balister P, Bollobas B, Sarkar A et al. (2009). A CRITICAL CONSTANT FOR THE k-NEAREST-NEIGHBOUR MODEL ADV APPL PROBAB nameOfConference. 10.1239/aap/1240319574 qmroHref Balister P, Bollobas B, Sarkar A et al. (2009). Highly connected random geometric graphs DISCRETE APPL MATH nameOfConference. 10.1016/j.dam.2008.03.001 qmroHref Balister P, Bollobás B, Haenggi M et al. (2008). Sentry Selection in Sensor Networks: A Sufficient Condition for k Single Covers journal 2008 IEEE International Zurich Seminar on Communications. 10.1109/izs.2008.4497264 qmroHref Balister P, Bollobas B, Sarkar A et al. (2008). Connectivity of a Gaussian network INT J AD HOC UBIQ CO nameOfConference. 10.1504/IJAHUC.2008.018407 qmroHref Walters M (2007). Extensions of the polynomial Hales-Jewett theorem COMB PROBAB COMPUT nameOfConference. 10.1017/S0963548306008339 qmroHref Riordan O, Walters M (2007). Rigorous confidence intervals for critical probabilities PHYS REV E nameOfConference. 10.1103/PhysRevE.76.011110 qmroHref Balister P, Bollobas B, Walters M (2005). Continuum percolation with steps in the square or the disc RANDOM STRUCT ALGOR nameOfConference. 10.1002/rsa.20064 qmroHref Balister P, Bollobas B, Sarkar A et al. (2005). Connectivity of random k-nearest-neighbour graphs ADV APPL PROBAB nameOfConference. 10.1239/aap/1113402397 qmroHref WALTERS MJ, Bollobas B, Balister P (2004). Continuum percolation with steps in an annulus Annals of Applied Probability nameOfConference. 10.1214/105051604000000891 qmroHref