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Extremum of a time-inhomogeneous branching random walk

期刊: FRONTIERS OF MATHEMATICS IN CHINA, 2021; 16 (2)

Consider a time-inhomogeneous branching random walk, generated by the point process L-n which composed by two independent parts: 'branching' offspring......

Upper bounds for eigenvalues of Cauchy-Hankel tensors

期刊: FRONTIERS OF MATHEMATICS IN CHINA, 2021; 16 (4)

We present upper bounds of eigenvalues for finite and infinite dimensional Cauchy-Hankel tensors. It is proved that an m-order infinite dimensional Ca......

Elliptic genera of level N for complete intersections

期刊: FRONTIERS OF MATHEMATICS IN CHINA, 2021; 16 (4)

We focus on the elliptic genera of level N at the cusps of a congruence subgroup for any complete intersection. Writing the first Chern class of a com......

Computing top eigenpairs of Hermitizable matrix

期刊: FRONTIERS OF MATHEMATICS IN CHINA, 2021; 16 (2)

The top eigenpairs at the title mean the maximal, the submaximal, or a few of the subsequent eigenpairs of an Hermitizable matrix. Restricting on top ......

Properties of Ahlfors constant in Ahlfors covering surface theory

期刊: FRONTIERS OF MATHEMATICS IN CHINA, 2021; 16 (4)

This paper is a subsequent work of [Invent. Math., 2013, 191: 197-253]. The second fundamental theorem in Ahlfors covering surface theory is that, for......

Decompositions of stochastic convolution driven by a white-fractional Gaussian noise

期刊: FRONTIERS OF MATHEMATICS IN CHINA, 2021; 16 (4)

Let u = {u(t, x); (t, x) is an element of DOUBLE-STRUCK CAPITAL R+ x is an element of} be the solution to a linear stochastic heat equation driven by ......

Majid conjecture: quantum Kac-Moody algebras version

期刊: FRONTIERS OF MATHEMATICS IN CHINA, 2021; 16 (3)

Based on the n-fold tensor product version of the generalized double-bosonization construction, we prove the Majid conjecture of the quantum Kac-Moody......

Hoeffding's inequality for Markov processes via solution of Poisson's equation

期刊: FRONTIERS OF MATHEMATICS IN CHINA, 2021; 16 (2)

We investigate Hoeffding's inequality for both discrete-time Markov chains and continuous-time Markov processes on a general state space. Our results ......

Recollements arising from cotorsion pairs on extriangulated categories

期刊: FRONTIERS OF MATHEMATICS IN CHINA, 2021; 16 (4)

This paper is devoted to constructing some recollements of additive categories associated to concentric twin cotorsion pairs on an extriangulated cate......

Down/up crossing properties of weighted Markov collision processes

期刊: FRONTIERS OF MATHEMATICS IN CHINA, 2021; 16 (2)

This paper concentrates on considering the down/up crossing property of weighted Markov collision processes. The joint probability generating function......

Perpetual cutoff method and CDE ' (K, N) condition on graphs

期刊: FRONTIERS OF MATHEMATICS IN CHINA, 2021; 16 (3)

By using the perpetual cutoff method, we prove two discrete versions of gradient estimates for bounded Laplacian on locally finite graphs with excepti......

Optimal stopping time on discounted semi-Markov processes

期刊: FRONTIERS OF MATHEMATICS IN CHINA, 2021; 16 (2)

This paper attempts to study the optimal stopping time for semi-Markov processes (SMPs) under the discount optimization criteria with unbounded cost r......

Correction to a proposition related to ergodicity of Markov chains

期刊: FRONTIERS OF MATHEMATICS IN CHINA, 2021; 16 (3)

Proposition 5.5.6 (ii) in the book Markov Chains and Stochastic Stability (2nd ed, Cambridge Univ. Press, 2009) has been used in the proof of a theore......

Periodic solutions of hybrid jump diffusion processes

期刊: FRONTIERS OF MATHEMATICS IN CHINA, 2021; 16 (3)

We investigate periodic solutions of regime-switching jump diffusions. We first show the well-posedness of solutions to stochastic differential equati......

Marcinkiewicz integrals with rough kernels in H-1(Sn-1)

期刊: FRONTIERS OF MATHEMATICS IN CHINA, 2021; 16 (4)

This paper is devoted to studying the Marcinkiewicz integral operators associated to polynomial compound curves. Some new bounds for the above operato......

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