Publications: Dr Dudley Stark

Stark D ( 2023 ) . The small cycle counts of random feedback shift registers . Australasian Journal of Combinatorics vol. 86 , ( 3 ) 414 - 422 .

Gnedin A, Stark D ( 2023 ) . Random permutations and queues . Advances in Applied Mathematics vol. 149 , Article 102549 , 102549 - 102549 .

Stark D ( 2022 ) . The component counts of random functions . Discrete Mathematics vol. 345 , ( 9 )

Stark D ( 2021 ) . The asymptotic number of weighted partitions with a given number of parts . The Ramanujan Journal: an international journal devoted to areas of mathematics influenced by Ramanu

Stark D ( 2021 ) . The component counts of random injections . The Electronic Journal of Combinatorics

STARK D, Wormald N ( 2018 ) . The probability of non-existence of a subgraph in a moderately sparse random graph . Combinatorics, Probability and Computing vol. 27 , 672 - 715 .

STARK D, Cortis D ( 2017 ) . Balancing the book: Is it necessary and sufficient? . The Journal of Gambling Business and Economics

Rybarczyk K, STARK D ( 2017 ) . Poisson approximation of counts of subgraphs in random intersection graphs . Discrete Mathematics

Rybarczyk K, Stark D ( 2016 ) . Poisson Approximation of the Number of Cliques in Random Intersection Graphs . Journal of Applied Probability vol. 47 , ( 3 ) 826 - 840 .

Stark D ( 2016 ) . Bin sizes in time-inhomogeneous infinite Polya processes . Statistics & Probability Letters vol. 113 , Article C , 49 - 53 .

Granovsky BL, Stark D ( 2015 ) . Developments in the Khintchine-Meinardus Probabilistic Method for Asymptotic Enumeration . The Electronic Journal of Combinatorics vol. 22 , ( 4 )

Granovsky BL, Stark D ( 2013 ) . Asymptotic enumeration of decomposable combinatorial structures with multiple singularities (Abstract) . Electronic Notes in Discrete Mathematics vol. 43 , 15 - 20 .

Stark D ( 2013 ) . The asymptotic number of spanning forests of complete bipartite labelled graphs . DISCRETE MATHEMATICS . vol. 313 , 1256 - 1261 .

Gauci JB, Hilton AJW, Stark D ( 2013 ) . Wiggles and Finitely Discontinuous <i>k</i>-to-1 Functions Between Graphs . JOURNAL OF GRAPH THEORY vol. 74 , ( 3 ) 275 - 308 .

Granovsky BL, Stark D ( 2012 ) . A Meinardus Theorem with Multiple Singularities . COMMUNICATIONS IN MATHEMATICAL PHYSICS vol. 314 , ( 2 ) 329 - 350 .

Stark D ( 2011 ) . The Edge Correlation of Random Forests . ANNALS OF COMBINATORICS vol. 15 , ( 3 ) 529 - 539 .

Stark D ( 2011 ) . OIL PRODUCTION MODELS WITH NORMAL RATE CURVES . PROBAB ENG INFORM SC vol. 25 , ( 2 ) 205 - 217 .

Rybarczyk K, Stark D ( 2010 ) . POISSON APPROXIMATION OF THE NUMBER OF CLIQUES IN RANDOM INTERSECTION GRAPHS . J APPL PROBAB vol. 47 , ( 3 ) 826 - 840 .

Cameron P, Kang M, Stark D ( 2010 ) . Random preorders and alignments . DISCRETE MATHEMATICS . vol. 310 , 591 - 603 .

Cameron P, Prellberg T, Stark D ( 2010 ) . Asymptotic enumeration of 2-covers and line graphs . DISCRETE MATHEMATICS . vol. 310 , 230 - 240 .

Stark D ( 2009 ) . The limit of the statistic R/P in models of oil discovery and production . Applied Mathematical Sciences vol. 3 , ( 53-56 ) 2703 - 2706 .

Stark D ( 2008 ) . Peak production in an oil depletion model with triangular field profiles . Journal of Interdisciplinary Mathematics vol. 11 , ( 5 ) 695 - 706 .

Stark D ( 2008 ) . First Occurrence in Pairs of Long Words: A Penney-ante Conjecture of Pevzner . Combinatorics Probability Computing vol. 4 , ( 3 ) 279 - 285 .

Granovsky BL, Stark D, Erlihson M ( 2008 ) . Meinardus' theorem on weighted partitions: Extensions and a probabilistic proof . ADV APPL MATH vol. 41 , ( 3 ) 307 - 328 .

Jaworski J, Stark D ( 2008 ) . The Vertex Degree Distribution of Passive Random Intersection Graph Models . Combinatrics, Probability & Computing vol. 17 , ( 4 ) 549 - 558 .

Cameron P, Prellberg T, Stark D ( 2006 ) . Asymptotics for incidence matrix classes . ELECTRON J COMB vol. 13 , ( 1 ) Article R85 ,

Jaworski J, Karonski M, Stark D ( 2006 ) . The degree of a typical vertex in generalized random intersection graph models . DISCRETE MATH vol. 306 , ( 18 ) 2152 - 2165 .

Stark D ( 2006 ) . Logical limit laws for logarithmic structures . MATH PROC CAMBRIDGE vol. 140 , 537 - 544 .

Granovsky BL, Stark D ( 2006 ) . Asymptotic enumeration and logical limit laws for expansive multisets and selections . J LOND MATH SOC vol. 73 , 252 - 272 .

Cameron P, Prellberg T, Stark D ( 2006 ) . Asymptotic enumeration of incidence matrices . International Workshop on Statistical Mechanics and Combinatorics: Counting Complexity . Editors: DeGier, J, Warnaar, O , vol. 42 , 59 - 70 .

Stark D ( 2005 ) . LOGARITHMIC COMBINATORIAL STRUCTURES: A PROBABILISTIC APPROACH (EMS Monographs in Mathematics) . Bulletin of the London Mathematical Society vol. 37 , ( 1 ) 157 - 159 .

Stark D ( 2004 ) . Convergence in distribution for subset counts between random sets . ELECTRON J COMB vol. 11 , ( 1 ) Article R59 ,

Stark D ( 2004 ) . The vertex degree distribution of random intersection graphs . RANDOM STRUCT ALGOR vol. 24 , ( 3 ) 249 - 258 .

Stark D ( 2002 ) . Information loss in top to random shuffling . COMB PROBAB COMPUT vol. 11 , ( 6 ) 607 - 627 .

CAMERON PJ, STARK D ( 2002 ) . A Prolific Construction of Strongly Regular Graphs with the n-e.c. Property . The Electronic Journal of Combinatorics vol. 9 ,

Stark D, Ganesh A, O'Connell N ( 2002 ) . Information loss in riffle shuffling . COMB PROBAB COMPUT vol. 11 , ( 1 ) 79 - 95 .

Stark D ( 2001 ) . Compound Poisson approximations of subgraph counts in random graphs . RANDOM STRUCT ALGOR vol. 18 , ( 1 ) 39 - 60 .

Hambly BM, Keevash P, O'Connell N, Stark D ( 2000 ) . The characteristic polynomial of a random permutation matrix . Stochastic Processes and their Applications vol. 90 , ( 2 ) 335 - 346 .

Ganesh A, Hambly BM, O'Connell N, Stark D, Upton PJ ( 2000 ) . Poissonian Behavior of Ising Spin Systems in an External Field . Journal of Statistical Physics vol. 99 , ( 1-2 ) 613 - 626 .

Hambly BM, Keevash P, O'Connell N, Stark D ( 2000 ) . The characteristic polynomial of a random permutation matrix . HP Laboratories Technical Report vol. BRIMS , ( 1 )

Knopfmacher A, Odlyzko AM, Pittel B, Richmond LB, Stark D, Szekeres G, Wormald NC ( 1999 ) . The asymptotic number of set partitions with unequal block sizes . Electronic Journal of Combinatorics vol. 6 , ( 1 )

STARK D ( 1999 ) . Total Variation Asymptotics for Refined Poisson Process Approximations of Random Logarithmic Assemblies . Combinatorics Probability Computing vol. 8 , ( 6 ) 567 - 598 .

Stark D, Ganesh A, O'Connell N ( 1999 ) . Information loss in card shuffling . HP Laboratories Technical Report vol. BRIMS , ( 5 )

Ganesh A, Hambly BM, O'Connell N, Stark D, Upton PJ ( 1999 ) . Poissonian behavior of Ising spin systems in an external field . HP Laboratories Technical Report vol. BRIMS , ( 4 )

Stark D ( 1998 ) . Total variation asymptotics for independent process approximations of logarithmic multisets and selections . Random Structures and Algorithms vol. 11 , ( 1 ) 51 - 80 .

Stark D ( 1998 ) . Compound Poisson approximations of subgraph counts in random graphs .

Stark D, Wormald NC ( 1997 ) . Asymptotic Enumeration of Convex Polygons . Journal of Combinatorial Theory Series A vol. 80 , ( 2 ) 196 - 217 .

STARK D ( 1997 ) . Explicit Limits of Total Variation Distance in Approximations of Random Logarithmic Assemblies by Related Poisson Processes . Combinatorics Probability Computing vol. 6 , ( 1 ) 87 - 105 .

Braaksma BLJ, Stark D ( 1997 ) . A Darboux-Type Theorem for Slowly Varying Functions . Journal of Combinatorial Theory Series A vol. 77 , ( 1 ) 51 - 66 .