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Related papers: Explicit Form of Coefficients in any MA(2) Process

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Every adapted absolutely continuous process has a predictable density. The set of adapted absolutely continuous processes equals the set of time integrals of progressive or predictable pathwise locally integrable processes.

Probability · Mathematics 2019-01-17 Lars Tyge Nielsen

The statistical properties of estimator using covariance matrix for the account of point-to-point correlations due to systematic errors are analyzed. It is shown that the covariance matrix estimator (CME) is consistent for the realistic…

High Energy Physics - Experiment · Physics 2007-05-23 Alekhin Sergey

This paper considers the problem of reconstructing missing parts of functions based on their observed segments. It provides, for Gaussian processes and arbitrary bijective transformations thereof, theoretical expressions for the…

Statistics Theory · Mathematics 2024-11-04 Pauliina Ilmonen , Nourhan Shafik , Tommi Sottinen , Germain Van Bever , Lauri Viitasaari

We obtain explicit formulas for the Neumann coefficients and associated quantities that appear in the three-string vertex for type IIB string theory in a plane-wave background, for any value of the mass parameter mu. The derivation involves…

High Energy Physics - Theory · Physics 2009-11-07 Yang-Hui He , John H. Schwarz , Marcus Spradlin , Anastasia Volovich

We explore the $C_2$-equivariant spectra $Tmf_1(3)$ and $TMF_1(3)$. In particular, we compute their $C_2$-equivariant Picard groups and the $C_2$-equivariant Anderson dual of $Tmf_1(3)$. This implies corresponding results for the fixed…

Algebraic Topology · Mathematics 2018-03-16 Michael A. Hill , Lennart Meier

We prove a complete class theorem that characterizes \emph{all} stationary time reversible Markov processes whose finite dimensional marginal distributions (of all orders) are infinitely divisible. Aside from two degenerate cases (iid and…

Probability · Mathematics 2021-06-01 Robert L Wolpert , Lawrence D. Brown

We present an operational reconstruction of the well-known two-to-one homomorphism between the groups $SU(2)$ and $SO(3)$, grounded in the physical description of quantum state preparation and evolution. Starting from the connection between…

Quantum Physics · Physics 2025-12-02 V. G. Valle , B. F. Rizzuti

We introduce computable actions of computable groups and prove the following versions of effective Birkhoff's ergodic theorem. Let $\Gamma$ be a computable amenable group, then there always exists a canonically computable tempered two-sided…

Dynamical Systems · Mathematics 2017-01-24 Nikita Moriakov

We present models where $\gamma_+$ and $\gamma_-$, the exponents of the susceptibility in the high and low temperature phases, are generically different. In these models, continuous symmetries are explicitly broken down by discrete…

Statistical Mechanics · Physics 2015-11-18 Frédéric Léonard , Bertrand Delamotte

Many biological processes are supported by special molecules, called motor proteins or molecular motors, that transport cellular cargoes along linear protein filaments and can reversibly associate to their tracks. Stimulated by these…

Statistical Mechanics · Physics 2021-11-17 Akriti Jindal , Anatoly B. Kolomeisky , Arvind Kumar Gupta

We consider quantum mechanics on the noncommutative plane in the presence of magnetic field $B$. We show, that the model has two essentially different phases separated by the point $B\theta=c\hbar^2/e$, where $\theta$ is a parameter of…

High Energy Physics - Theory · Physics 2011-05-05 Stefano Bellucci , Armen Nersessian , Corneliu Sochichiu

Gaussian processes are used in many machine learning applications that rely on uncertainty quantification. Recently, computational tools for working with these models in geometric settings, such as when inputs lie on a Riemannian manifold,…

Machine Learning · Statistics 2023-10-31 Paul Rosa , Viacheslav Borovitskiy , Alexander Terenin , Judith Rousseau

Many two-dimensional conformal field theories have an alternative integrable scattering description, which reproduces their spectrum of conformal weights. Taking as an example the case of the Lee-Yang nonunitary CFT and the 3-state Potts…

High Energy Physics - Theory · Physics 2022-12-14 Zoltan Bajnok , Romuald A. Janik

We attempt to characterize irreversibility of a dynamical system from the existence of different forward and backward mathematical representations depending on the direction of the time arrow. Such different representations have been…

Dynamical Systems · Mathematics 2025-08-13 Giorgio Picci

We establish novel uniqueness results for the Gabor phase retrieval problem: if $\mathcal{G} : L^2(\mathbb{R}) \to L^2(\mathbb{R}^2)$ denotes the Gabor transform then every $f \in L^4[-\tfrac{c}{2},\tfrac{c}{2}]$ is determined up to a…

Functional Analysis · Mathematics 2022-09-16 Philipp Grohs , Lukas Liehr

The behavior of a GP regression depends on the choice of covariance function. Stationary covariance functions are preferred in machine learning applications. However, (non-periodic) stationary covariance functions are always mean reverting…

Machine Learning · Statistics 2024-05-16 Luca Ambrogioni

In this paper we study the quantitative homogenization of second-order parabolic systems with locally periodic (in both space and time) coefficients. The $O(\varepsilon)$ scale-invariant error estimate in $L^2(0, T;…

Analysis of PDEs · Mathematics 2021-12-03 Yao Xu

We construct counterexamples for the partial data inverse problem for the fractional conductivity equation in all dimensions on general bounded open sets. In particular, we show that for any bounded domain $\Omega \subset \mathbb{R}^n$ and…

Analysis of PDEs · Mathematics 2024-09-10 Jesse Railo , Philipp Zimmermann

Gaussian process regression machine learning with a physically-informed kernel is used to model the phase compositions of nickel-base superalloys. The model delivers good predictions for laboratory and commercial superalloys, with $R^2>0.8$…

Materials Science · Physics 2021-09-29 Patrick L. Taylor , Gareth Conduit

An intrinsic form factor has benn found and the slope of the form factor has been predicted.

High Energy Physics - Phenomenology · Physics 2007-05-23 Bing An Li