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Modern mispronunciation detection and diagnosis systems have seen significant gains in accuracy due to the introduction of deep learning. However, these systems have not been evaluated for the ability to be run in real-time, an important…

Audio and Speech Processing · Electrical Eng. & Systems 2020-03-05 Peter Plantinga , Eric Fosler-Lussier

We show that, under some mild hypotheses, the Gowers uniformity norms (both in the additive and in the hypergraph setting) are essentially equivalent to certain weaker norms which are easier to understand. We present two applications of…

Number Theory · Mathematics 2022-06-10 Pandelis Dodos , Vassilis Kanellopoulos

We study quasi-modular pseudometric spaces as asymmetric refinements of modular metric structures. To each such space we associate canonical forward and backward quasi-uniformities and the corresponding directional topologies. We introduce…

General Topology · Mathematics 2026-02-03 Philani Rodney Majozi

We prove a converse theorem for the case of quasi-split non-split even special orthogonal groups over finite fields. There are two main difficulties which arise from the outer automorphism and non-split part of the torus. The outer…

Representation Theory · Mathematics 2025-01-29 Alexander Hazeltine

We investigate a slight weakening of the classical property of strong approximation, which we call almost strong approximation, for connected reductive algebraic groups over global fields with respect to special sets of valuations. While…

Algebraic Geometry · Mathematics 2026-01-13 Andrei S. Rapinchuk , Wojciech Tralle

We develop a dynamical version of some of the theory surrounding the Toms-Winter conjecture for simple separable nuclear C*-algebras and study its connections to the C*-algebra side via the crossed product. We introduce an analogue of…

Dynamical Systems · Mathematics 2020-06-05 David Kerr

We consider quasiconformal deformations of $\mathbb{C}\setminus\mathbb{Z}$. We give some criteria for infinitely often punctured planes to be quasiconformally equivalent to $\mathbb{C}\setminus\mathbb{Z}$. In particular, we characterize the…

Differential Geometry · Mathematics 2014-12-30 Hiroki Fujino

With the help of a smooth scaling and coarse-graining approach of observables, developed recently by us in the context of so-called fluctuation operators (inspired by prior work of Verbeure et al) we perform a rigorous renormalisation group…

Mathematical Physics · Physics 2007-05-23 Manfred Requardt

We consider extensions of quasiconformal maps and the uniformization theorem to the setting of metric spaces $X$ homeomorphic to $\mathbb R^2$. Given a measure $\mu$ on such a space, we introduce $\mu$-quasiconformal maps $f:X \to \mathbb…

Complex Variables · Mathematics 2021-05-25 Kai Rajala , Martti Rasimus , Matthew Romney

The exponential random graph model (ERGM) is a central object in the study of clustering properties in social networks as well as canonical ensembles in statistical physics. Despite some breakthrough works in the mathematical understanding…

Probability · Mathematics 2021-08-06 Shirshendu Ganguly , Kyeongsik Nam

We examine thermodynamic formalism for a class of renormalizable dynamical systems which in the symbolic space is generated by the Thue-Morse substitution, and in complex dynamics by the Feigenbaum-Coullet-Tresser map. The basic question…

Dynamical Systems · Mathematics 2012-03-21 Henk Bruin , Renaud Leplaideur

We study the charge response of conformal field theories (CFTs) at non-zero temperature in 2+1 dimensions using the AdS/CFT correspondence. A central role is played by the quasinormal modes (QNMs), specifically, the poles and zeros of the…

Strongly Correlated Electrons · Physics 2013-05-01 William Witczak-Krempa , Subir Sachdev

We introduce the notion of a quasi-connected reductive group over an arbitrary field to be an almost direct product of a connected semisimple group and a quasi-torus (a smooth group of multiplicative type). We show that a linear algebraic…

Group Theory · Mathematics 2021-10-12 Mikhail Borovoi , Andrei A. Gornitskii , Zev Rosengarten

Brlek and Reutenauer conjectured that any infinite word u with language closed under reversal satisfies the equality 2D(u) = \sum_{n=0}^{\infty}T_u(n) in which D(u) denotes the defect of u and T_u(n) denotes C_u(n+1)-C_u(n) +2 - P_U(n+1) -…

Combinatorics · Mathematics 2013-02-12 Lubomira Balkova , Edita Pelantova , Stepan Starosta

This is a commentary on Teichm{\"u}ller's paper Unter-suchungen{\"u}ber konforme und quasikonforme Abbildungen (Inves-tigations on conformal and quasiconformal mappings) published in 1938. The paper contains fundamental results in conformal…

Complex Variables · Mathematics 2019-12-25 Vincent Alberge , Melkana Brakalova-Trevithick , Athanase Papadopoulos

We develop a quantitative version of Aubry duality and use it to obtain several sharp estimates for the dynamics of Schr\"odinger cocycles associated to a non-perturbatively small analytic potential and Diophantine frequency. In particular,…

Dynamical Systems · Mathematics 2008-05-14 Artur Avila , Svetlana Jitomirskaya

Semi-supervised (SS) inference has received much attention in recent years. Apart from a moderate-sized labeled data, L, the SS setting is characterized by an additional, much larger sized, unlabeled data, U. The setting of |U| >> |L|,…

Methodology · Statistics 2024-02-06 Yuqian Zhang , Abhishek Chakrabortty , Jelena Bradic

The Ku\v{c}era--G\'{a}cs theorem is a fundamental result in algorithmic randomness. It states that every infinite sequence $X$ is Turing reducible to a Martin-L\"of random $R$. This paper studies resource-bounded analogues of the…

Computational Complexity · Computer Science 2026-05-22 Satyadev Nandakumar , Akhil S , Chandra Shekhar Tiwari

Given a bounded domain $D \subset {\mathbb R}^n$ strictly starlike with respect to $0 \in D\,,$ we define a quasi-inversion w.r.t. the boundary $\partial D \,.$ We show that the quasi-inversion is bi-Lipschitz w.r.t. the chordal metric if…

Complex Variables · Mathematics 2015-12-17 David Kalaj , Matti Vuorinen , Gendi Wang

We present novel semiring semantics for abstract reduction systems (ARSs). More precisely, we provide a weighted version of ARSs, where the reduction steps induce weights from a semiring. Inspired by provenance analysis in database theory…

Logic in Computer Science · Computer Science 2025-05-14 Emma Ahrens , Jan-Christoph Kassing , Jürgen Giesl , Joost-Pieter Katoen
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