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We give properties of strict pseudocontractions and demicontractions defined on a Hilbert space, which constitute wide classes of operators that arise in iterative methods for solving fixed point problems. In particular, we give necessary…

Optimization and Control · Mathematics 2023-07-17 Andrzej Cegielski

Two dimensional conformal field theories with large central charge and a sparse low-lying spectrum are expected to admit a classical string holographic dual. We construct a large class of such theories employing permutation orbifold…

High Energy Physics - Theory · Physics 2015-04-06 Felix M. Haehl , Mukund Rangamani

We consider the space of embeddings of finitely many circles that bound disks in non-positively curved surfaces. We index the connected components of this space with finite rooted trees and show that the connected components are classifying…

Algebraic Topology · Mathematics 2026-01-21 Ryan C. Gelnett

We introduce a class of diffeological spaces, called elastic, on which the left Kan extension of the tangent functor of smooth manifolds defines an abstract tangent functor in the sense of Rosicky. On elastic spaces there is a natural…

Differential Geometry · Mathematics 2023-01-09 Christian Blohmann

This work deals with planar dynamical systems with and without noise. In the first part, we seek to gain a refined understanding of such systems by studying their differential-geometric transformation properties under an arbitrary smooth…

Dynamical Systems · Mathematics 2023-11-28 Tiemo Pedergnana , Nicolas Noiray

We show that if the complexity difference function p(n+1)-p(n) of a infinite minimal shift is bounded, then the the automorphism group of the one-sided shift is finite, and the automorphism group of the corresponding two-sided shift "modulo…

Dynamical Systems · Mathematics 2014-12-02 Ethan Coven , Reem Yassawi

Positive Dehn twist products for some elements of finite order in the mapping class group of a 2-dimensional closed, compact, oriented surface $\Sigma_g$, which are rotations of $\Sigma_g$ through $2\pi /p$, are presented. The homeomorphism…

Geometric Topology · Mathematics 2007-05-23 Yusuf Z. Gurtas

We construct the smooth, compact moduli space of similarity classes of labeled, oriented triangles. The space, denoted $\mathfrak D$, is a connected sum of three projective planes, and projects via blowdown to two shape spaces that have…

Algebraic Geometry · Mathematics 2025-08-01 Eric Brussel , Madeleine Goertz , Elijah Guptill , Kelly Lyle

For a mixing shift of finite type, the associated automorphism group has a rich algebraic structure, and yet we have few criteria to distinguish when two such groups are isomorphic. We introduce a stabilization of the automorphism group,…

Dynamical Systems · Mathematics 2020-01-28 Yair Hartman , Bryna Kra , Scott Schmieding

We show that for a system containing a set of general second class constraints which are linear in the phase space variables, the Abelian conversion can be obtained in a closed form and that the first class constraints generate a…

High Energy Physics - Theory · Physics 2008-11-26 Ricardo Amorim , Ashok Das

This paper discusses a more general contractive condition for a class of extended cyclic self-mappings on the union of a finite number of subsets of a metric space which are allowed to have a finite number of successive images in the same…

Functional Analysis · Mathematics 2012-08-06 M. De la Sen

The problem of the classification of the indefinite binary quadratic forms with integer coefficients is solved introducing a special partition of the de Sitter world, where the coefficients of the forms lie, into separate domains. Every…

Number Theory · Mathematics 2008-03-27 Francesca Aicardi

We construct a new class of biharmonic maps, which are the critical points for the bienergy functional, by deforming conformally the codomain metric of harmonic Riemannian submersions such that they become nonharmonic but biharmonic.

Differential Geometry · Mathematics 2007-05-23 A. Balmus

We introduce geometric quantization in the setting of shifted symplectic structures. We define Lagrangian fibrations and prequantizations of shifted symplectic stacks and their geometric quantization. In addition, we study many examples…

Symplectic Geometry · Mathematics 2020-11-12 Pavel Safronov

The extensive analysis of the dynamics of relativistic spinning particles is presented. Using the coadjoint orbits method the Hamiltonian dynamics is explicitly described. The main technical tool is the factorization of general Lorentz…

High Energy Physics - Theory · Physics 2020-09-07 Krzysztof Andrzejewski , Cezary Gonera , Joanna Goner , Piotr Kosinski , Pawel Maslanka

The clogging behavior of a symmetric binary mixture of particles that are driven in opposite directions through constrictions is explored by Brownian dynamics simulations and theory. A dynamical state with a spontaneously broken symmetry…

Soft Condensed Matter · Physics 2016-12-28 Tobias Glanz , Raphael Wittkowski , Hartmut Löwen

Dendric shifts are defined by combinatorial restrictions of the extensions of the words in their languages. This family generalizes well-known families of shifts such as Sturmian shifts, Arnoux-Rauzy shifts and codings of interval exchange…

Dynamical Systems · Mathematics 2021-06-23 France Gheeraert , Marie Lejeune , Julien Leroy

We introduce a new type of shift dynamics as an extended model of symbolic dynamics, and investigate the characteristics of shift spaces from the viewpoints of both dynamics and computation. This shift dynamics is called a functional shift…

Chaotic Dynamics · Physics 2009-11-10 Jun Namikawa , Takashi Hashimoto

Classical (maximal) superintegrable systems in $n$ dimensions are Hamiltonian systems with $2n-1$ independent constants of the motion, globally defined, the maximum number possible. They are very special because they can be solved…

Mathematical Physics · Physics 2015-11-04 Yuxuan Chen , Ernie G. Kalnins , Qiushi Li , Willard Miller

Let $X$ be a $2$-dimensional subshift of finite type generated by a finite set of forbidden blocks (of finite size). We give an algorithm for generating the elements of the shift space using sequence of finite matrices (of increasing size).…

Dynamical Systems · Mathematics 2019-02-06 Puneet Sharma , Dileep Kumar