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In this talk, we investigate a stochastic nutrient-phytoplankton model which incorporates the effect of white noise on phytoplankton growth. The global existence and uniqueness of a positive solution,...
second moment but satisfying some weaker finite moment condition. For any locally compact unimodular group G and any positive function  :G→ [0,+∞], we introduce a function G, which describes the ...
Markov chains on finite sets are used in a great variety of situations to approximate, understand and sample from their limit distribution. A familiar example is provided by card shufflin...
We study the limit theory of large threshold graphs and apply this to a variety of models for random threshold graphs. The results give a nice set of examples for the emerging theory of graph limits.
RANDOM GRAPHS WITH A GIVEN DEGREE SEQUENCE。
Cupping with random sets     Cupping  random sets  Logic       2012/6/29
We prove that a set is K-trivial if and only if it is not weakly ML-cuppable. Further, we show that a set below zero jump is K-trivial if and only if it is not ML-cuppable. These results settle a ques...
Abstract: Let \Gamma be the generalized random bipartite graph that has two sides Rl and Rr with edges for every pair of vertices between R1 and Rr but no edges within each side, where all the edges a...
The paper presents a Fock space model suitable for constructions of c-free algebras. Immediate applications are direct proofs for the properties of the c-free R- and S-transforms.
The analysis of the linearization effect in multifractal analysis, and hence of the estimation of moments for multifractal processes, is revisited borrowing concepts from the statistical physics of di...
Consider a network where all nodes are distributed on a unit square following a Poisson distribution with known density  and a pair of nodes separated by an Euclidean distance x are directly connecte...
Bootstrap percolation on the random graph Gn,p is a process of spread of “activation” on a given realization of the graph with a given number of initially active nodes. At each step those vertices wh...
We analyze the random fluctuations of several multi-scale algorithms such as the multi-scale finite element method (MsFEM) and the finite element heterogeneous multiscale method (HMM), that have been...
Rate, energy and delay are three main parameters of interest in ad-hoc networks. In this paper, we discuss the problem of maximizing network utility and minimizing energy consumption while satisfying...
In this paper, we propose novel state-based algorithms which dynamically control the random access network based on its current state such as channel states of wireless links and backlog states of th...

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