Asymptotic behaviors of subcritical branching killed Brownian motion with drift
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DOI: 10.1017/apr.2025.17
Abstract: In this paper, we study asymptotic behaviors of a subcritical branching Brownian motion with drift $-\rho$ , killed upon exiting $(0, \infty)$ , and offspring distribution $\{p_k{:}\; k\ge 0\}$ . Let $\widetilde{\zeta}^{-\rho}$ be the extinction… read more here.
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A central limit theorem for jump diffusion processes in the presence of round-off errors
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DOI: 10.1017/apr.2025.7
Abstract: Let X be the sum of a diffusion process and a Lévy jump process, and for any integer $n\ge 1$ let $\phi_n$ be a function defined on $\mathbb{R}^2$ and taking values in $\mathbb{R}$ , with… read more here.
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Hausdorff and packing dimensions and measures for nonlinear transversally non-conformal thin solenoids
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DOI: 10.1017/etds.2021.94
Abstract: We extend the results of Hasselblatt and Schmeling [Dimension product structure of hyperbolic sets. Modern Dynamical Systems and Applications. Eds. B. Hasselblatt, M. Brin and Y. Pesin. Cambridge University Press, New York, 2004, pp. 331–345]… read more here.
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Subshifts and colorings on ascending HNN-extensions of finitely generated abelian groups
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DOI: 10.1017/etds.2021.95
Abstract: For an ascending HNN-extension $G*_{\psi }$ of a finitely generated abelian group G, we study how a synchronization between the geometry of the group and weak periodicity of a configuration in $\mathcal {A}^{G*_{\psi }}$ forces… read more here.
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Global rigidity of higher rank lattice actions with dominated splitting
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DOI: 10.1017/etds.2023.31
Abstract: Let $\alpha $ be a $C^{\infty }$ volume-preserving action on a closed n-manifold M by a lattice $\Gamma $ in $\mathrm {SL}(n,\mathbb {R})$ , $n\ge 3$ . Assume that there is an element $\gamma \in… read more here.
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Some ergodic theorems involving Omega function and their applications
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DOI: 10.1017/etds.2025.10254
Abstract: In this paper, we build some ergodic theorems involving the function $\Omega $ , where $\Omega (n)$ denotes the number of prime factors of a natural number n counted with multiplicities. As a combinatorial application,… read more here.
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Influence of irregular three-dimensional rough surfaces on the roughness function
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DOI: 10.1017/jfm.2025.61
Abstract: The influence of irregular three-dimensional rough surfaces on the displacement of the logarithmic velocity profile relative to that of a smooth wall in turbulent flow, known as the roughness function, is studied using direct numerical… read more here.
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K-STABLE DIVISORS IN OF DEGREE
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DOI: 10.1017/nmj.2023.5
Abstract: We prove that every smooth divisor in $\mathbb {P}^1\times \mathbb {P}^1\times \mathbb {P}^2$ of degree $(1,1,2)$ is K-stable. read more here.
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OVERPARTITIONS RELATED TO THE MOCK THETA FUNCTION
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DOI: 10.1017/s0004972719001618
Abstract: Recently, Brietzke, Silva and Sellers [‘Congruences related to an eighth order mock theta function of Gordon and McIntosh’, J. Math. Anal. Appl.479 (2019), 62–89] studied the number $v_{0}(n)$ of overpartitions of $n$ into odd parts without… read more here.
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COMPUTING POINTS ON BIELLIPTIC MODULAR CURVES OVER FIXED QUADRATIC FIELDS
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DOI: 10.1017/s0004972723000333
Abstract: We present a Mordell–Weil sieve that can be used to compute points on certain bielliptic modular curves $X_0(N)$ over fixed quadratic fields. We study $X_0(N)(\mathbb {Q}(\sqrt {d}))$ for $N \in \{ 53,61,65,79,83,89,101,131 \}$ and ${\lvert… read more here.
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ON THE ITERATES OF THE SHIFTED EULER’S FUNCTION
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DOI: 10.1017/s0004972723000394
Abstract: Let $\varphi $ be Euler’s function and fix an integer $k\ge 0$ . We show that for every initial value $x_1\ge 1$ , the sequence of positive integers $(x_n)_{n\ge 1}$ defined by $x_{n+1}=\varphi (x_n)+k$ for… read more here.
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