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In this paper, we propose a delayed perturbation of Mittag-Leffler type matrix function, which is an extension of the classical Mittag-Leffler type matrix function and delayed Mittag-Leffler type matrix function. With the help of the…

Dynamical Systems · Mathematics 2020-01-08 N. I. Mahmudov

Dispersive constraints on the shape of the form factors which describe the exclusive decays B -> D^(*) l nu are derived by fully exploiting spin symmetry in the ground-state doublet of heavy-light mesons. The analysis includes all twenty…

High Energy Physics - Phenomenology · Physics 2009-10-30 I. Caprini , L. Lellouch , M. Neubert

We present a detailed study of non-leptonic two-body decays of B mesons based on a generalized factorization hypothesis. We discuss the structure of non-factorizable corrections and present arguments in favour of a simple phenomenological…

High Energy Physics - Phenomenology · Physics 2016-11-03 Matthias Neubert , Berthold Stech

In this article we study the small ball probabilities in $L_2$-norm for a family of finite-dimensional perturbations of Gaussian functions. We define three types of perturbations: non-critical, partially critical and critical; and derive…

Probability · Mathematics 2023-08-23 Yulia Petrova

We give new and explicitly computable examples of Gibbs-non-Gibbs transitions of mean-field type, using the large deviation approach introduced in [4]. These examples include Brownian motion with small variance and related diffusion…

Probability · Mathematics 2012-12-05 Frank Redig , Feijia Wang

Form factor axioms are derived in two dimensional integrable defect theories for matrix elements of operators localized both in the bulk and on the defect. The form factors of bulk operators are expressed in terms of the bulk form factors…

High Energy Physics - Theory · Physics 2014-11-20 Zoltan Bajnok , Omar el Deeb

In the article, Besov-Orlicz regularity of sample paths of stochastic processes that are represented by multiple integrals of order $n\in\mathbb{N}$ is treated. We give sufficient conditions for the considered processes to have paths in the…

Probability · Mathematics 2021-11-25 Petr Čoupek , Martin Ondreját

We provide some equations for the Variance Gamma process due to the fact that we do not consider only the definition as a time-changed Brownian motion. This brings us to a new non-local equation, even true in the drifted case, involving…

Probability · Mathematics 2022-10-19 Fausto Colantoni

Categorical enumerative invariants of a Calabi-Yau category, encoded as the partition function of the associated closed string field theory (SFT), conjecturally equal Gromov-Witten invariants when applied to Fukaya categories. Part of this…

Quantum Algebra · Mathematics 2025-07-23 Jakob Ulmer

We use the light front quark model to investigate the form factors in the $e^{+}e^{-} \to B\bar{B}$ collision proceses with $B=\Lambda,~\Sigma$ and $\Xi$. These form factor behaviors are calculated based on the Bethe-Salpeter formalism with…

High Energy Physics - Phenomenology · Physics 2026-05-14 Chong-Chung Lih , Chao-Qiang Geng

We present particular solutions for the following important nonlinear second order differential equations: modified Emden, generalized Lienard, convective Fisher, and generalized Burgers-Huxley. For the latter two equations these solutions…

Mathematical Physics · Physics 2009-11-11 O. Cornejo-Perez , H. C. Rosu

Parameterization of the form factors of $f_1 (1285)$ meson is proposed. This parameterization is consistent with the available experimental data on the cross sections of $f_1 (1285)$ meson production in the processes $e^+e^- \to f_1 (1285)$…

High Energy Physics - Phenomenology · Physics 2019-12-11 A. I. Milstein , A. S. Rudenko

The paper is devoted to study analogues of the van der Corput lemmas involving Mittag-Leffler functions. The generalisation is that we replace the exponential function with the Mittag-Leffler-type function, to study oscillatory integrals…

Functional Analysis · Mathematics 2021-10-05 Michael Ruzhansky , Berikbol T. Torebek

The paper deals with the asymptotic behavior of the bridge of a Gaussian process conditioned to stay in $n$ fixed points at $n$ fixed past instants. In particular, functional large deviation results are stated for small time. Several…

Probability · Mathematics 2016-04-06 L. Caramellino , B. Pacchiarotti

For stationary, homogeneous Markov processes (viz., L\'{e}vy processes, including Brownian motion) in dimension $d\geq 3$, we establish an exact formula for the average number of $(d-1)$-dimensional facets that can be defined by $d$ points…

Statistical Mechanics · Physics 2017-03-22 Julien Randon-Furling , Florian Wespi

.Stochastic models based on random diffusivities, such as the diffusing-diffusivity approach, are popular concepts for the description of non-Gaussian diffusion in heterogeneous media. Studies of these models typically focus on the moments…

Statistical Mechanics · Physics 2020-08-26 V. Sposini , D. S. Grebenkov , R. Metzler , G. Oshanin , F. Seno

We discuss the centering operation for the Green Gaussian processes and calculate $L_2$-small ball asymptotics for some centered (demeaned) processes.

Probability · Mathematics 2023-08-22 Alexander Nazarov , Yulia Petrova

We propose isomorphism type identities for nonlinear functionals of general infinitely divisible processes. Such identities can be viewed as an analogy of the Cameron-Martin formula for Poissonian infinitely divisible processes but with…

Probability · Mathematics 2017-11-21 Jan Rosinski

We start by defining a subordinator by means of the lower-incomplete gamma function. It can be considered as an approximation of the stable subordinator, easier to be handled thank to its finite activity. A tempered version is also…

Probability · Mathematics 2021-06-24 Luisa Beghin , Costantino Ricciuti

We consider some fractional extensions of the recursive differential equation governing the Poisson process, by introducing combinations of different fractional time-derivatives. We show that the so-called "Generalized Mittag-Leffler…

Probability · Mathematics 2009-11-02 Luisa Beghin , Enzo Orsingher
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