Results 51 to 60 of about 1,071,338 (106)

Compile‐Once Block Encodings for Masked Similarity‐Transformed Effective Hamiltonians

Advanced Quantum Technologies, Volume 9, Issue 9, September 2026.
Composer transforms structured electronic‐structure operators into a reusable quantum‐circuit fabric. Once compiled, the same block‐encoding architecture is re‐dialed through coefficients, rotation angles, and masks to generate similarity‐transformed effective Hamiltonians across related problem instances, avoiding repeated structural recompilation ...
Bo Peng, Yuan Liu, Karol Kowalski
wiley   +1 more source

Introducing Δ h Hermite-based Appell polynomials via the monomiality principle: properties, forms, and generating relations

Journal of Mathematics and Computer Science
The article introduces a novel class of polynomials, HQ [∆h] m (q1 , q2, q3, q4 , q5; h), termed ∆h Hermite-based Appell polynomials, utilizing the monomiality principle. These polynomials exhibit close connections with ∆h Hermite-based Bernoulli, Euler, and Genocchi polynomials, elucidating their specific properties and explicit forms.
Ramirez, William, Nisarc, Junaid, Warke, Arundhati, Gani Dar, Javid, Ahmad Rather, Zahoor   +4 more
openaire   +1 more source

Network Reduction and Absence of Hopf Bifurcations in Dual Phosphorylation Networks With Three Intermediates

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT We show that the removal of a type of reverse reactions preserves the absence of Hopf bifurcations in mass‐action reaction networks, or more precisely, the absence of single pairs of purely imaginary eigenvalues of the Jacobian of the system. The motivation is to answer the open question of whether the dual phosphorylation mechanism requiring ...
Elisenda Feliu, Nidhi Kaihnsa
wiley   +1 more source

Stability of Gaussian Poincaré inequalities and Heisenberg uncertainty principle with monomial weights

Mathematische Zeitschrift
We use the Bakry-Émery curvature-dimension criterion and $Γ$-calculus to establish the Poincaré inequality with monomial Gaussian measure, and then apply the duality approach to study its improvements and its gradient stability. We also set up the scale-dependent Poincaré inequality with monomial Gaussian type measure and use it to inspect the ...
Lam, Nguyen, Lu, Guozhen, Russanov, Andrey   +2 more
openaire   +2 more sources

On Sheffer polynomial families

4 open, 2019
Attention is focused to particular families of Sheffer polynomials which are different from the classical ones because they satisfy non-standard differential equations, including some of fractional type.
Pinelas Sandra, Ricci Paolo Emilio
doaj   +1 more source

Edge Density Expansions for the Classical Gaussian and Laguerre Ensembles

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT Recent work of Bornemann has uncovered hitherto hidden integrable structures relating to the asymptotic expansion of quantities at the soft edge of the Gaussian and Laguerre random matrix ensembles. These quantities are spacing distributions and the eigenvalue density, and the findings cover the cases of the three symmetry classes: orthogonal,
Peter J. Forrester, Anas A. Rahman, Bo‐Jian Shen   +2 more
wiley   +1 more source

Numerical Identification of Stationary States and Their Stability in a Model of Quantum Droplets

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT In this work, we are motivated by a recent variant of the nonlinear Schrödinger (NLS) equation describing cold, dilute atomic condensates with quantum fluctuation effects. Our goal is to develop robust numerical methods capable of uncovering diverse stationary solutions in such NLS models.
Sun Lee, Panayotis G. Kevrekidis, Wenrui Hao   +2 more
wiley   +1 more source

Monomiality,orthogonal and pseudo orthogonal polynomials

, 2006
We reconsider some families of orthogonal polynomials, within the framework of the so called monomiality principle. We show that the associated operational formalism allows the framing of the polynomial orthogonality using an algebraic point
RICCI P. E., DATTIOLI G, MARTINELLI, Maria Renata, GERMANO, Bruna   +3 more
core  

Laguerre-type Bessel functions

, 2005
In the framework of the 'monomiality principle', we introduce a class of Bessel-type functions which can be derived by applying the properties of an isomorphism, related to the so called Laguerre-type exponentials.
C. Cesarano, RICCI, Paolo Emilio, GERMANO, Bruna   +2 more
core   +1 more source

Certain Properties and Applications of Convoluted Δh Multi-Variate Hermite and Appell Sequences

, 2023
This study follows the line of research that by employing the monomiality principle, new outcomes are produced. Thus, in line with prior facts, our aim is to introduce the Δh multi-variate Hermite Appell polynomials ΔhHAm[r](q1,q2,⋯,qr ...
Ibtehal Alazman, Badr Saad T. Alkahtani, Shahid Ahmad Wani   +2 more
core   +1 more source