A zero-inflated occupancy distribution: Exact results and Poisson convergence.
Addendum and erratum to the paper "On the size of a maximal induced tree in a random graph"
Almost every tree function is independent
An easy proof of the limit in the random assignment problem.
An Elementary Inequality Between the Probabilities of Events.
An extremal problem related to probability.
An invariant sum related to record statistics.
An occupancy problem with group drawings of different sizes
An open toss problem.
An overlapping theorem with applications.
We establish a general and optimal lower bound for the complete sum of the probabilities of k-intersections of n events. We then describe various applications to additive and multiplicative number theory, graph theory, coding theory, study of lattice points on circles, and divisors of polynomials.[Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].
Analysis of a Bose–Einstein Markov chain
Analysis of an asymmetric leader election algorithm.
Another Proof for a Combinatorial Lemma in Fluctuation Theory.
Asymptotic distributions and chaos for the supermarket model.
Asymptotic evolution of acyclic random mappings.
Asymptotics of counts of small components in random structures and models of coagulation-fragmentation
We establish necessary and sufficient conditions for the convergence (in the sense of finite dimensional distributions) of multiplicative measures on the set of partitions. The multiplicative measures depict distributions of component spectra of random structures and also the equilibria of classic models of statistical mechanics and stochastic processes of coagulation-fragmentation. We show that the convergence of multiplicative measures is equivalent to the asymptotic independence of counts of...
Asymptotics of permutations with nearly periodic patterns of rises and falls.
Asymptotics of the allele frequency spectrum associated with the Bolthausen-Sznitman coalescent.
Behavior of a second class particle in Hammersley's process.
Bernoulli trials and permutation statistics.