Results 31 to 40 of about 1,025 (106)
Singular Perturbation of Nonlinear Systems with Regular Singularity
We extend Balser‐Kostov method of studying summability properties of a singularly perturbed inhomogeneous linear system with regular singularity at origin to nonlinear systems of the form εzf′ = F(ε, z, f) with F a Cν‐valued function, holomorphic in a polydisc D-ρ×D-ρ×D-ρν.
Domingos H. U. Marchetti +2 more
wiley +1 more source
Heterogeneous Media Heat Transfer Simulations Based on 3D‐Fractional Parametric Laplace Kernel
This paper introduces a new Mittag–Leffler–Laplace memory kernel defined by Φ˜μ,ν,κα,ρs=∫0∞Eρ−μξκ/κξνα−1e−sξdξ, s>0, and develops a unified framework for modeling heat transfer in heterogeneous media with nonlocal temporal memory. The proposed kernel combines algebraic singularity, stretched attenuation, and fractional relaxation through independent ...
Rabha W. Ibrahim +3 more
wiley +1 more source
Modular Invariance, Tauberian Theorems, and Microcanonical Entropy
We analyze modular invariance drawing inspiration from tauberian theorems. Given a modular invariant partition function with a positive spectral density, we derive lower and upper bounds on the number of operators within a given energy interval. They are
Mukhametzhanov, Baur +1 more
core +1 more source
Statistics for traces of cyclic trigonal curves over finite fields [PDF]
We study the variation of the trace of the Frobenius endomorphism associated to a cyclic trigonal curve of genus g over a field of q elements as the curve varies in an irreducible component of the moduli space.
Achter +11 more
core +2 more sources
A finitization of Littlewood's Tauberian theorem and an application in Tauberian remainder theory
Abel and Tauber's theorems relate the convergence of the coefficients of a power series and the convergence of the power series, as a function, towards its radius of convergence. In [Math. Log. Q. 66, No. 3, 300--310 (2020; Zbl 1521.03217)], the author proposed to extend the proof mining program (see, e.g. [\textit{U. Kohlenbach}, Applied proof theory.
openaire +1 more source
In the classical Bayesian persuasion model, an informed player and an uninformed one engage in a static interaction. This work extends this classical model to a dynamic setting where the state of nature evolves according to a Markovian law, allowing for a more realistic representation of real‐world situations where the state of nature evolves over time.
Ehud Lehrer, Dimitry Shaiderman
wiley +1 more source
Convergence Rates and Limit Theorems for the Dual Markov Branching Process
This paper studies aspects of the Siegmund dual of the Markov branching process. The principal results are optimal convergence rates of its transition function and limit theorems in the case that it is not positive recurrent. Additional discussion is given about specifications of the Markov branching process and its dual. The dualising Markov branching
Anthony G. Pakes +1 more
wiley +1 more source
Numerical Computation of the Rosenblatt Distribution and Applications
ABSTRACT The Rosenblatt distribution plays a key role in the limit theorems for non‐linear functionals of stationary Gaussian processes with long‐range dependence. We derive new expressions for the characteristic function of the Rosenblatt distribution.
Nikolai N. Leonenko, Andrey Pepelyshev
wiley +1 more source
Optimal Bounds for the Variance of Self‐Intersection Local Times
For a Zd‐valued random walk (Sn) n∈N0, let l(n, x) be its local time at the site x∈Zd. For α∈N, define the α‐fold self‐intersection local time as Ln(α)≔∑xl(n, x) α. Also let LnSRW(α) be the corresponding quantities for the simple random walk in Zd. Without imposing any moment conditions, we show that the variance of the self‐intersection local time of ...
George Deligiannidis +2 more
wiley +1 more source
Euclidean algorithms are Gaussian over imaginary quadratic fields
Abstract We prove that the distribution of the number of steps of the Euclidean algorithm of rationals in imaginary quadratic fields with denominators bounded by N$N$ is asymptotically Gaussian as N$N$ goes to infinity, extending a result by Baladi and Vallée for the real case.
Dohyeong Kim, Jungwon Lee, Seonhee Lim
wiley +1 more source

