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We study computational questions related with the stability of discrete-time linear switching systems with switching sequences constrained by an automaton. We first present a decidable sufficient condition for their boundedness when the…

Dynamical Systems · Mathematics 2015-12-16 Matthew Philippe , Gilles Millerioux , Raphaël M. Jungers

Transverse linearization-based approaches have become among the most prominent methods for orbitally stabilizing feedback design in regards to (periodic) motions of underactuated mechanical systems. Yet, in an $n$-dimensional state-space,…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Christian Fredrik Sætre , Anton Shiriaev , Stepan Pchelkin , Ahmed Chemori

In this paper, we study a delayed forward-backward stochastic control system in which all the coefficients depend on the state and control terms, and the control domain is not necessarily convex. A global stochastic maximum principle is…

Optimization and Control · Mathematics 2026-01-21 Feng Li

The Lyapunov exponents of GL(2)-cocycles over Markov shifts depend continuously on the underlying data, that is, on the matrix coefficients and the Markov measure transition probabilities.

Dynamical Systems · Mathematics 2014-10-07 Elaís C. Malheiro , Marcelo Viana

This paper concerns some spectral properties of the scalar dynamical system defined by a linear delay-differential equation with two positive delays. More precisely, the existing links between the delays and the maximal multiplicity of the…

Dynamical Systems · Mathematics 2023-02-28 Sébastien Fueyo , Guilherme Mazanti , Islam Boussaada , Yacine Chitour , Silviu-Iulian Niculescu

We consider the upper and lower tail probabilities for the centered (by time$/24$) and scaled (according to KPZ time$^{1/3}$ scaling) one-point distribution of the Cole-Hopf solution of the KPZ equation when started with initial data drawn…

Probability · Mathematics 2020-03-04 Ivan Corwin , Promit Ghosal

The extreme value dependence of regularly varying stationary time series can be described by the spectral tail process. Drees, Segers and Warchol [Extremes 18(3): 369--402, 2015] proposed estimators of the marginal distributions of this…

Statistics Theory · Mathematics 2019-07-23 Holger Drees , Miran Knezevic

We introduce discrete-time linear control systems on connected Lie groups and present an upper bound for the outer invariance entropy of admissible pairs (K,Q). If the stable subgroup of the uncontrolled system is closed and K has positive…

Optimization and Control · Mathematics 2021-05-17 Fritz Colonius , João A. N. Cossich , Alexandre J. Santana

For arrays $(S_{i,j})_{1\leq i\leq j}$ of random variables that are stationary in an appropriate sense, we show that the fluctuations of the process $(S_{1,n})_{n=1}^{\infty}$ can be bounded in terms of a measure of the ``mean…

Dynamical Systems · Mathematics 2016-09-07 Michael Hochman

Decay rate and forward-backward asymmetries in B -> K_{1} l^{+} l ^{-}, K_{1} is the axial vector meson, are calculated in the universal extra dimension (UED) model. The dependence of these physical quantities on the compactification radius…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ishtiaq Ahmed , M. Ali Paracha , M. Jamil Aslam

It has recently been pointed out that the observables of the decay $B^+\to K^+\bar{K^0}$ and its charge conjugate allow us to take into account rescattering effects in constraints on the CKM angle $\gamma$ arising from $B^\pm\to\pi^\pm K$…

High Energy Physics - Phenomenology · Physics 2010-11-23 Robert Fleischer

Peak estimation bounds extreme values of a function of state along trajectories of a dynamical system. This paper focuses on extending peak estimation to continuous and discrete settings with time-independent and time-dependent uncertainty.…

Optimization and Control · Mathematics 2021-03-25 Jared Miller , Didier Henrion , Mario Sznaier , Milan Korda

Constraining CKM parameters from charmless hadronic B decays requires methods for addressing the hadronic uncertainties. A complete technique is presented, using relations between amplitudes in the B, Bs -> pipi, Kpi, KK system obtained in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Julie Malclès

The decay width, forward-backward asymmetry and lepton longitudinal and transversal polarization for the exclusive K^* -> l^+ l^- decay in a two Higgs doublet model are computed. It is shown that all these quantities are very effective…

High Energy Physics - Phenomenology · Physics 2009-10-30 T. M. Aliev , M. Savci , A. Ozpineci , H. Koru

In this paper, we prove a polynomial Central Limit Theorem for several integrable models, and for the $\beta$-ensembles at high-temperature with polynomial potential. Furthermore, we connect the mean values, the variances and the…

Probability · Mathematics 2023-12-19 Guido Mazzuca , Ronan Memin

We prove that the $q$-state Potts model and the random-cluster model with cluster weight $q>4$ undergo a discontinuous phase transition on the square lattice. More precisely, we show - Existence of multiple infinite-volume measures for the…

Probability · Mathematics 2017-09-06 Hugo Duminil-Copin , Maxime Gagnebin , Matan Harel , Ioan Manolescu , Vincent Tassion

This paper presents a wide-ranging theoretical and experimental study of non-adiabatic transient phenomena in a $\Lambda $ EIT system when a strong coupling field is rapidly switched on or off. The theoretical treatment uses a Laplace…

The concept of (A,B)-invariant subspace (or controlled invariant) of a linear dynamical system is extended to linear systems over the max-plus semiring. Although this extension presents several difficulties, which are similar to those…

Optimization and Control · Mathematics 2007-05-23 Ricardo David Katz

Convergent migration allows pairs of planet to become trapped into mean motion resonances. Once in resonance, the planets' eccentricities grow to an equilibrium value that depends on the ratio of migration time scale to the eccentricity…

Earth and Planetary Astrophysics · Physics 2015-06-18 Eva H. L. Bodman , Alice C. Quillen

Can the properties of the thermodynamic limit of a many-body quantum system be extrapolated by analysing a sequence of finite-size cases? We present a model for which such an approach gives completely misleading results: a translationally…

Quantum Physics · Physics 2018-02-06 Johannes Bausch , Toby S. Cubitt , Angelo Lucia , David Perez-Garcia , Michael M. Wolf