Mark Walters

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All published works

Action	Title	Year	Authors
+ PDF Chat	Random Geometric Graphs in Reflexive Banach Spaces	2024	József Balogh Mark Walters András Zsák
+	Product-free sets in the free semigroup	2019	Imre Leader Shoham Letzter Bhargav Narayanan Mark Walters
+	Product-free sets in the free semigroup	2018	Imre Leader Shoham Letzter Bhargav Narayanan Mark Walters
+	Random geometric graphs and isometries of normed spaces	2018	Paul Balister Béla Bollobás Karen Gunderson Imre Leader Mark Walters
+	Transitive Avoidance Games	2017	J. Robert Johnson Imre Leader Mark Walters
+ PDF Chat	An $n$-in-a-row Type Game	2016	Joshua Erde Mark Walters
+	Transitive Avoidance Games	2016	J. Robert Johnson Imre Leader Mark Walters
+	Random Geometric Graphs and Isometries of Normed Spaces	2015	Paul Balister Béla Bollobás Karen Gunderson Imre Leader Mark Walters
+	An $n$-in-a-row type game	2015	Joshua Erde Mark Walters
+	An $n$-in-a-row type game	2015	Joshua Erde Mark Walters
+	Subtended Angles	2015	Paul Balister Béla Bollobás Zoltán Füredi Imre Leader Mark Walters
+ PDF Chat	Probably Intersecting Families are Not Nested	2012	Paul A. Russell Mark Walters
+ PDF Chat	Sharpness in the <i>k</i>-Nearest-Neighbours Random Geometric Graph Model	2012	Victor Falgas‐Ravry Mark Walters
+ PDF Chat	Sharpness in the k-Nearest-Neighbours Random Geometric Graph Model	2012	Victor Falgas–Ravry Mark Walters
+	Small components in -nearest neighbour graphs	2012	Mark Walters
+	Transitive sets in Euclidean Ramsey theory	2011	Imre Leader Paul A. Russell Mark Walters
+	Lion and man—can both win?	2011	B Bollobás Imre Leader Mark Walters
+	Probably Intersecting Families are Not Nested	2011	Paul A. Russell Mark Walters
+ PDF Chat	Hamilton cycles in random geometric graphs	2011	József Balogh Béla Bollobás Michael Krivelevich Tobias Müller Mark Walters
+	Small components in k-nearest neighbour graphs	2011	Mark Walters
+ PDF Chat	Transitive sets and cyclic quadrilaterals	2011	Imre Leader Paul A. Russell Mark Walters
+	Transitive Sets and Cyclic Quadrilaterals	2010	Imre Leader Paul A. Russell Mark Walters
+	Transitive Sets in Euclidean Ramsey Theory	2010	Imre Leader Paul A. Russell Mark Walters
+	None	2010	Paul Balister Béla Bollobás Joanne Johnson Mark Walters
+ PDF Chat	Sentry Selection in Wireless Networks	2010	Paul Balister Béla Bollobás Amites Sarkar Mark Walters
+ PDF Chat	Sentry Selection in Wireless Networks	2010	Paul Balister Béla Bollobás Amites Sarkar Mark Walters
+	Random majority percolation	2009	Paul Balister Béla Bollobás J. Robert Johnson Mark Walters
+ PDF Chat	Iterated Point–Line Configurations Grow Doubly-Exponentially	2009	Joshua Cooper Mark Walters
+ PDF Chat	Random transceiver networks	2009	Paul Balister Béla Bollobás Mark Walters
+ PDF Chat	Random transceiver networks	2009	Paul Balister Béla Bollobás Mark Walters
+ PDF Chat	A critical constant for the <i>k</i> nearest-neighbour model	2009	Paul Balister Béla Bollobás Amites Sarkar Mark Walters
+ PDF Chat	A critical constant for the k nearest-neighbour model	2009	Paul Balister Béla Bollobás Amites Sarkar Mark Walters
+	Lion and Man -- Can Both Win?	2009	B Bollobás Imre Leader Mark Walters
+ PDF Chat	Connectivity of a Gaussian network	2008	Paul Balister B. Bollobas Amites Sarkar Mark Walters
+	Iterated Point-Line Configurations Grow Doubly-Exponentially	2008	Joshua Cooper Mark Walters
+ PDF Chat	Rigorous confidence intervals for critical probabilities	2007	Oliver Riordan Mark Walters
+	A critical constant for the k nearest neighbour model	2007	Paul Balister Béla Bollobás Amites Sarkar Mark Walters
+	Extensions of the Polynomial Hales–Jewett Theorem	2006	Mark Walters
+	Continuum percolation with steps in the square or the disc	2005	Paul Balister Béla Bollobás Mark Walters
+ PDF Chat	Continuum percolation with steps in an annulus	2004	Paul Balister Béla Bollobás Mark Walters
+	Combinatorial Proofs of the Polynomial van der Waerden Theorem and the Polynomial Hales-Jewett Theorem	2000	Mark Walters

Common Coauthors

Coauthor	Papers Together
Paul Balister	15
Béla Bollobás	15
Imre Leader	13
Amites Sarkar	6
Paul A. Russell	6
J. Robert Johnson	3
Joshua Erde	3
Karen Gunderson	2
Bhargav Narayanan	2
József Balogh	2
Victor Falgas‐Ravry	2
Shoham Letzter	2
B Bollobás	2
Joshua Cooper	2
B. Bollobas	1
Oliver Riordan	1
Tobias Müller	1
Zoltán Füredi	1
András Zsák	1
Joanne Johnson	1
Michael Krivelevich	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Random Plane Networks	1961	E. N. Gilbert	7
+ PDF Chat	A critical constant for the <i>k</i> nearest-neighbour model	2009	Paul Balister Béla Bollobás Amites Sarkar Mark Walters	5
+	Percolation	1999	Geoffrey Grimmett	4
+ PDF Chat	All triangles are Ramsey	1986	Péter Frankl Vojtěch Rödl	4
+	Euclidean ramsey theorems. I	1973	P. Erdős Ronald Graham Pettitt B. Montgomery Bruce Rothschild J. Spencer E. G. Straus	4
+ PDF Chat	The longest edge of the random minimal spanning tree	1997	Mathew D. Penrose	4
+ PDF Chat	Regularity and positional games	1963	Alfred W. Hales Robert I. Jewett	4
+	Random Graphs	2001	Béla Bollobás	4
+ PDF Chat	Efficient measurement of the percolation threshold for fully penetrable discs	2000	J. Quintanilla Salvatore Torquato Robert M. Ziff	3
+	Onk-connectivity for a geometric random graph	1999	Mathew D. Penrose	3
+	Random Geometric Graphs	2003	Mathew D. Penrose	3
+	None	2005	Paul Balister Béla Bollobás aff n Mark Walters aff n	3
+	Continuum Percolation	1996	Ronald Meester R. Roy	3
+	Extremal problems in discrete geometry	1983	Endre Szemerédi W. T. Trotter	3
+	Improved upper bounds for the critical probability of oriented percolation in two dimensions	1994	Paul Balister Béla Bollobás Alan Stacey	3
+	Recent trends in Euclidean Ramsey theory	1994	Ron Graham	3
+	Continuum percolation with steps in the square or the disc	2005	Paul Balister Béla Bollobás Mark Walters	3
+	The Art of Mathematics	2006	Béla Bollobás	3
+ PDF Chat	The Metastability Threshold for Modified Bootstrap Percolation in $d$ Dimensions	2006	Alexander E. Holroyd	2
+ PDF Chat	Finite Size Scaling in Three-Dimensional Bootstrap Percolation	1999	Raphaël Cerf Emilio N. M. Cirillo	2
+	Small components in -nearest neighbour graphs	2012	Mark Walters	2
+ PDF Chat	The Behavior of Processes with Statistical Mechanical Properties	1987	Lawrence Gray	2
+	Additive number theory: inverse problems and the geometry of sumsets	1997	Melvyn B. Nathanson	2
+	Bootstrap percolation in a polluted environment	1997	Janko Gravner Elaine T. McDonald	2
+ PDF Chat	Simple hypergraphs with maximal number of adjacent pairs of edges	1980	Rudolf Ahlswede	2
+	“Lion and Man”: A Postscript	1964	H. T. Croft	2
+	Efficient communication in an ad-hoc network	2004	Abraham D. Flaxman Alan Frieze Eli Upfal	2
+ PDF Chat	On a problem of Ahlswede and Katona	2009	Stephan Wagner Hua Wang	2
+	Finite subtransitive sets	2006	F. E. A. Johnson	2
+	Finite-size effects for some bootstrap percolation models	1990	Aernout C. D. van Enter Joan Adler J. A. M. S. Duarté	2
+	Critical points of two-dimensional bootstrap percolation-like cellular automata	1990	Roberto H. Schonmann	2
+ PDF Chat	Optimization of Shape In Continuum Percolation	2001	Johan Jonasson	2
+ PDF Chat	Random coverings in several dimensions	1986	Svante Janson	2
+	All regular polytopes are Ramsey	2006	Kristal Cantwell	2
+ PDF Chat	Spaces of constant curvature	2010	Joseph A. Wolf	2
+ PDF Chat	On the Behavior of Some Cellular Automata Related to Bootstrap Percolation	1992	Roberto H. Schonmann	2
+ PDF Chat	Set-Polynomials and Polynomial Extension of the Hales-Jewett Theorem	1999	Vitaly Bergelson A. Leibman	2
+	Sum-Free Subsets of Right Cancellative Semigroups	2001	Tomasz Łuczak Tomasz Schoen	2
+ PDF Chat	Brownian local minima, random dense countable sets and random equivalence classes	2006	Boris Tsirelson	2
+	Comportement periodique des fonctions a seuil binaires et applications	1981	Eric Goles J. Olivos	2
+ PDF Chat	Survival of Discrete Time Growth Models, with Applications to Oriented Percolation	1995	Thomas M. Liggett	2
+	Metastability effects in bootstrap percolation	1988	Michael Aizenman Joel L. Lebowitz	2
+	Isometries on Banach Spaces: function spaces	2002	Richard J. Fleming James Jamison	2
+ PDF Chat	A partition property of simplices in Euclidean space	1990	Péter Frankl V. Rödl	2
+	Statistical mechanics of probabilistic cellular automata	1990	Joel L. Lebowitz Christian Maes Eugène R. Speer	2
+ PDF Chat	Fixation Results for Threshold Voter Systems	1993	Richard Durrett Jeffrey E. Steif	2
+ PDF Chat	Most Probably Intersecting Families of Subsets	2012	Gyula O. H. Katona Gyula Y. Katona Zsolt Katona	2
+ PDF Chat	On the Coverage of $k$-Dimensional Space by $k$-Dimensional Spheres	1985	Peter Hall	2
+	Sidon Sets in Groups and Induced Subgraphs of Cayley Graphs	1985	László Babai Vera T. Sós	2
+ PDF Chat	Domination by product measures	1997	Thomas M. Liggett Roberto H. Schonmann Alan Stacey	2