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This work was partially supported by National Key R&D Program of China(No.2020YFC0832500);Fundamental Research Funds for the Central Universities(Nos.lzujbky-2021-sp47,lzujbky-2020-sp02,lzujbky-2019-kb51,and lzujbky2018-k12);the National Natural Science Foundation of China(No.61402210).We also gratefully acknowledge the support of NVIDIA Corporation with the donation of the Jetson-TX1 used for this research.
Unpredictable and irreproducible digital keys are required to modulate security-related information in secure communication systems.True random number generators(TRNGs)rather than pseudorandom number generators(PRNGs)...
Let X^H(u)(u)={X^H(u)(u);u∈R^N+}be linear multifractional stable sheets with index functional H(u),where H(u)=(H1(u),…,HN(u))is a function with values in(0;1)N.Based on some assumptions of H(u),we obtain the existen...
This work was supported by the National Natural Science Foundation of China under Grant Nos. 60970007, 61073050 and 61170044, the National Basic Research 973 Program of China under Grant No. 2007CB310800, the Shanghai Leading Academic Discipline Project of China under Grant No. J50103, and the Natural Science Foundation of Shandong Province of China under Grant No. ZR2012FQ013.
There are many variants of Petri net at present, and some of them can be used to model system with both function and performance specification, such as stochastic Petri net, generalized stochastic Petri net and probab...
supported by National Natural Science Foundation of China (Grant No.10871103)
In this paper, we consider the local time and the self-intersection local time for a bifractional Brownian motion, and the collision local time for two independent bifractional Brownian motions. We mainly prove the ex...
supported by National Science Foundation of the United States (Grant No.DMS-0706728)
Let X = {X(t), t ∈ ? N } be a Gaussian random field with values in ? d defined by (1) $$ X(t) = (X_1 (t),...,X_d (t)),\forall t \in \mathbb{R}^N . $$ . The properties of space and time anisotropy of X and their conne...
Research partially supported by NSF Grant DMS-0404729
Let B^α = {B^α(t),t E R^N} be an (N,d)-fractional Brownian motion with Hurst index α∈ (0, 1). By applying the strong local nondeterminism of B^α, we prove certain forms of uniform Hausdorff dimension result...