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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Multitype branching processes in random environments
随机环境 多类型 分支进程
2023/4/18
We consider a branching process with a random environment, in which the reproduction law of generation $n$ depends on the random environment at time n, unlike a constant distribution assumed in the cl...
On Cycles in Random Graphs
Cycles Random Graphs
2010/12/15
We consider the geometric random (GR) graph on the d−dimensional torus
with the L distance measure (1 1). Our main result is an exact characterization
of the probability that a particul...
Long cycles in subgraphs of (pseudo)random directed graphs
Long cycles subgraphs of (pseudo)random directed graphs
2010/12/8
We study the resilience of random and pseudorandom directed graphs with respect to the property of having long directed cycles. For every 0 < < 1/2 we find a constant c = c(
) such that the followin...
Optimal transport for multifractal random measures. Applications
Random measures multifractal processes optimal transport metric KPZ
2010/11/26
In this paper, we study optimal transportation problems for multifractal random measures. Since these measures are much less regular than optimal transportation theory requires, we introduce a new not...
Throughput-Optimal Random Access with Order-Optimal Delay
Throughput-Optimal Random Access Order-Optimal Delay
2010/12/14
In this paper, we consider CSMA policies for scheduling of multihop wireless networks with one-hop traffic.The main contribution of this paper is to propose Unlocking CSMA (U-CSMA) policy that enables...
Orientability thresholds for random hypergraphs
Orientability thresholds random hypergraphs
2010/12/14
Let h > w > 0 be two fixed integers. Let H be a random hypergraph whose hyperedges are all of cardinality h. To w-orient a hyperedge, we assign exactly w of its vertices positive signs with respect to...
Exit times in non-Markovian drifting continuous-time random walk processes
continuous-time random walks non-Markovian processes exit times
2010/4/27
By appealing to renewal theory we determine the equations that the mean exit time of a continuous-time random walk with drift satisfies both when the present coincides with a jump instant or when it d...