Results 71 to 80 of about 22,180 (168)

On the Asymptotic Expansion of Monomial in Singular Partial Differential Equations

Journal of Physics: Conference Series, 2021
Abstract People find that formal solutions to a type of doubly singular ordinary differential equations (systems) summable in a monomial of two variables, and that formal solutions to many singular partial differential equations were multisummable.
openaire   +1 more source

Efficient Gaussian Simulations of Fermionic Open Quantum Systems

Advanced Quantum Technologies, Volume 9, Issue 4, April 2026.
Building upon Bravyi's fundamental theoretical framework, efficient classical simulation methods are reviewed and further developed for general fermionic Gaussian processes. The emphasis remains on a unified approach applicable to generic fermionic Gaussian operations.
Yinan Fang, Hyesung Choi, Minchul Lee, Mahn‐Soo Choi   +3 more
wiley   +1 more source

Noncommutative polygonal cluster algebras

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein–Retakh, and are inspired by the emerging theory of Θ$\Theta$‐positivity for the groups Spin(p,q)$\mathrm{Spin}(p,q)$.
Zachary Greenberg, Dani Kaufman, Merik Niemeyer, Anna Wienhard   +3 more
wiley   +1 more source

Traces of Hecke operators on Drinfeld modular forms for GL2(Fq[T])$\operatorname{GL}_2(\mathbb {F}_q[T])$

Mathematika, Volume 72, Issue 2, April 2026.
Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley   +1 more source

Comparative growth measures of differential monomials and differential polynomials depending on their relative orders

New Trends in Mathematical Science, 2016
In the paper we establish some new results depending on the comparative growth properties of composite entire or meromorphic functions using relative order ( relative lower order ) and differential monomials, differential polynomials generated by one of the factors.
DATTA, Sanjib Kumar, BİSWAS, Tanmay, DUTTA, Debasmita   +2 more
openaire   +2 more sources

Generalisations of Capparelli's and Primc's identities, II: Perfect An−1(1)$A_{n-1}^{(1)}$ crystals and explicit character formulae

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In the first paper of this series, we gave infinite families of coloured partition identities which generalise Primc's and Capparelli's classical identities. In this second paper, we study the representation theoretic consequences of our combinatorial results.
Jehanne Dousse, Isaac Konan
wiley   +1 more source

Osculating geometry and higher‐order distance Loci

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We discuss the problem of optimizing the distance function from a given point, subject to polynomial constraints. A key algebraic invariant that governs its complexity is the Euclidean distance degree, which pertains to first‐order tangency. We focus on the data locus of points possessing at least one critical point of the distance function ...
Sandra Di Rocco, Kemal Rose, Luca Sodomaco   +2 more
wiley   +1 more source

Convergence properties of dynamic mode decomposition for analytic interval maps

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 179-206, February 2026.
Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji, Julia Slipantschuk, Oscar F. Bandtlow, Wolfram Just   +3 more
wiley   +1 more source

Classification of linear differential operators with an invariant subspace of monomials

Russian journal of mathematical physics, 1993
10 ...
Post, Gerhard F., Turbiner, A.
openaire   +4 more sources

More Limit Cycles for Complex Differential Equations with Three Monomials

Journal of Differential Equations
In this paper we improve, by almost doubling, the existing lower bound for the number of limit cycles of the family of complex differential equations with three monomials, z˙=Azz¯+Bzz¯+Czz¯, being k,l,m,n,p,q non-negative integers and A,B,C∈C. More concretely, if N=max⁡(k+l,m+n,p+q) and H(N)∈N∪{∞} denotes the maximum number of limit cycles of the above
M.J. Álvarez, B. Coll, A. Gasull, R. Prohens   +3 more
openaire   +2 more sources