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Motivated by recent results of Kapron and Steinberg (LICS 2018) we introduce new forms of iteration on length in the setting of applied lambda-calculi for higher-type poly-time computability. In particular, in a type-two setting, we…

Computational Complexity · Computer Science 2019-08-15 Bruce M. Kapron , Florian Steinberg

We consider singular perturbed eigenvalue problem for Laplace operator in a cylinder with frequent and nonperiodic alternation of boundary conditions imposed on narrow strips lying in the lateral surface. The width of strips depends on a…

Mathematical Physics · Physics 2015-06-26 Denis I. Borisov

We give a beautiful explicit example of a convex plane curve such that the outer billiard has a given finite number of invariant curves. Moreover, the dynamics on these curves is a standard shift. This example can be considered as an outer…

Dynamical Systems · Mathematics 2018-11-14 Misha Bialy , Andrey E. Mironov , Lior Shalom

In this paper, we investigate bounded action theories in the situation calculus. A bounded action theory is one which entails that, in every situation, the number of object tuples in the extension of fluents is bounded by a given constant,…

Artificial Intelligence · Computer Science 2015-09-08 Giuseppe De Giacomo , Yves Lespérance , Fabio Patrizi

We consider weak solutions to dispersive partial differential equations with periodic boundary conditions and initial data with jump discontinuities. These are already known to be continuous at irrational times and piecewise constant at…

Analysis of PDEs · Mathematics 2011-07-11 Kenneth D. T. -R. McLaughlin , Nigel J. E. Pitt

We consider an integral operator $\mathcal{I}$, special instances of which was studied in various contexts. Using an appropriate transformation we write this operator in terms of weighted composition operators. Then, we provide a…

Complex Variables · Mathematics 2012-04-16 Epaminondas Diamantopoulos

We study the boundary theory of the $\mathbb{Z}_N$ X-cube model using a continuum perspective, from which the exchange statistics of a subset of bulk excitations can be recovered. We discuss various gapped boundary conditions that either…

Strongly Correlated Electrons · Physics 2022-11-23 Zhu-Xi Luo , Ryan C. Spieler , Hao-Yu Sun , Andreas Karch

We introduce ballot matrices, a signed combinatorial structure whose definition naturally follows from the generating function for labeled interval orders. A sign reversing involution on ballot matrices is defined. We show that matrices…

Combinatorics · Mathematics 2014-10-22 Anders Claesson , Stuart A. Hannah

We introduce a graceful approach to probabilistic inference called bounded conditioning. Bounded conditioning monotonically refines the bounds on posterior probabilities in a belief network with computation, and converges on final…

Artificial Intelligence · Computer Science 2013-04-08 Eric J. Horvitz , Jaap Suermondt , Gregory F. Cooper

The traditional mathematical model for an impartial combinatorial game is defined recursively as a set of the options of the game, where the options are games themselves. We propose a model called gamegraph, together with its generalization…

Combinatorics · Mathematics 2024-11-05 Bojan Bašić , Paul Ellis , Dana C. Ernst , Danijela Popović , Nándor Sieben

We characterize all semigroups sandwiched between the semigroup of a Dirichlet form and the semigroup of its active main part. In case the Dirichlet form is regular, we give a more explicit description of the quadratic forms of the…

Functional Analysis · Mathematics 2023-01-04 Matthias Keller , Daniel Lenz , Marcel Schmidt , Michael Schwarz , Melchior Wirth

Recurrence quantification analysis is a method for measuring the complexity of dynamical systems. Recurrence determinism is a fundamental characteristic of it, closely related to correlation sum. In this paper, we study asymptotic behavior…

Dynamical Systems · Mathematics 2023-04-05 Michaela Mihoková

Nonstationary and nonlinear signals are ubiquitous in real life. Their decomposition and analysis is an important topic of research in signal processing. Recently a new technique, called Iterative Filtering, has been developed with the goal…

Numerical Analysis · Mathematics 2019-02-14 Antonio Cicone , Pietro Dell'Acqua

A new type of intermittent behavior is described to occur near the boundary of phase synchronization regime of coupled chaotic oscillators. This mechanism, called ring intermittency, arises for sufficiently high initial mismatches in the…

Chaotic Dynamics · Physics 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii , Maria K. Kurovskaya , S. Boccaletti

The dynamical equations of clarinet-like systems are known to be reducible to a non-linear iterated map within reasonable approximations. This leads to time oscillations that are represented by square signals, analogous to the Raman regime…

Chaotic Dynamics · Physics 2010-09-21 Pierre-André Taillard , Jean Kergomard , Franck Laloë

We prove that the r-th pluricanonical maps of threefolds of general type have birationally bounded fibers if $r\geqslant 2$. Similarly, we prove that the r-th pluricanonical maps of fourfolds of general type have birationally bounded fibers…

Algebraic Geometry · Mathematics 2020-06-11 Justin Lacini

Bifurcations in a system of coupled maps are investigated. Using symbolic dynamics it is proven that for coupled shift maps the well known space--time--mixing attractor becomes unstable at a critical coupling strength in favour of a…

chao-dyn · Physics 2016-08-14 Wolfram Just

It is a well-known fact that an exchangeable sequence has empirical distributions that form a reverse-martingale. This paper is devoted to proof of the converse statement. As a byproduct of the proof for the binary case, we introduce and…

Probability · Mathematics 2023-09-26 Martin Bladt , Dimitry Shaiderman

In this paper, within scaling invariance theory, we define and apply to the numerical solution of a similarity boundary layer model an iterative transformation method. The boundary value problem to be solved depends on a parameter and is…

Numerical Analysis · Mathematics 2020-11-20 Riccardo Fazio

Tree-like tableaux are combinatorial objects that appear in a combinatorial understanding of the PASEP model from statistical mechanics. In this understanding, the corners of the Southeast border correspond to the locations where a particle…

Combinatorics · Mathematics 2015-05-25 Patxi Laborde Zubieta