Results 31 to 40 of about 1,171 (108)

Massive Spanning Forests on the Complete Graph: Exact Distribution and Local Limit

Random Structures &Algorithms, Volume 68, Issue 2, March 2026.
ABSTRACT We provide new exact formulas for the distribution of massive spanning forests on the complete graph, which give also a new outlook on the celebrated special case of the uniform spanning tree. As a corollary we identify their local limit. This generalizes a well‐known theorem of Grimmett on the local limit of uniform spanning trees on the ...
Matteo D'Achille, Nathanaël Enriquez, Paul Melotti   +2 more
wiley   +1 more source

Solvent‐Mediated Dewetting Principles for Cell‐Sized Liposome Formation

Small, Volume 22, Issue 18, 25 March 2026.
Dynamics of solvent‐mediated dewetting for giant unilamellar liposome formation. Solvent removal, through changing lipid packing and membrane tension, is shown to induce partial dewetting into equilibrium low and high budding angle morphologies. Complete dewetting requires mechanical force, quantified using optical tweezers.
Mostafa Bakouei, Tatiana Avsievich, Indraja Sundara Raju, David Stumpf, Ali Kalantarifard, Benny Ryplida, Caglar Elbuken   +6 more
wiley   +1 more source

On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We study the derivative of the characteristic polynomial of N×N$N \times N$ Haar‐distributed unitary matrices. We obtain new explicit formulae for complex‐valued moments when the spectral variable is inside the unit disc, in the limit N→∞$N \rightarrow \infty$.
Nicholas Simm, Fei Wei
wiley   +1 more source

Modular Invariant of Quantum Tori II: The Golden Mean [PDF]

, 2012
In our first article in this series ("Modular Invariant of Quantum Tori I: Definitions Nonstandard and Standard" arXiv:0909.0143) a modular invariant of quantum tori was defined.
Bernard, C. Castaño, Gendron, T. M.
core  

The Romantic Discovery of Radiolaria in the Ocean

Journal of Eukaryotic Microbiology, Volume 73, Issue 1, January/February 2026.
ABSTRACT Radiolaria are unicellular marine organisms (protists) that have been drifting in oceanic plankton for hundreds of millions of years. These mineral architects can build extraordinarily complex skeletons, which fascinated and puzzled naturalists observing water samples through rudimentary microscopes.
Johan Decelle
wiley   +1 more source

Floor and ceiling functions for Pell numbers [PDF]

Notes on Number Theory and Discrete Mathematics
The analytical study of the Pell number and the role of floor and ceiling functions into their computation is examined. Closed expressions of Pell numbers were initially derived using Binet's formula, followed by an asymptotic behavior study of the ...
İsmail Sulan, Mustafa Aşçı
doaj   +1 more source

Dual Proximal Groups Concisely Representing Complex Hosoya Triangles

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
This paper introduces dual proximal groups (DPGs) that provide concise representation of complex Hosoya triangles (CHTs). An application is given in terms of the DPG representation of collections of Hosoya‐Hilbert circular triangles on modulated motion waveforms in sequences of video frames. MSC2020 Classification: 11B39,54E05,57S25.
Kübra Gül, James F. Peters, Ömür Deveci, Ivan Giorgio   +3 more
wiley   +1 more source

A Generalization of Gaussian Balancing and Gaussian Balancing‐Lucas Numbers With Applications

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this paper, we study a generalization of Gaussian balancing and Gaussian Lucas‐balancing numbers, we find their generating functions, Binet formulas, related matrix representation, and many other properties. Also, we provide some applications in cryptography.
T. Al-Asoully, A. Al-Kateeb, Abdul Rauf Khan   +2 more
wiley   +1 more source

Model Reduction for Nonlinear Dynamical Systems With Parametrized Boundary and Initial Conditions Using Support Vector Machine on a Manifold

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This work introduces a model reduction approach for parametrized boundary and initial conditions using supervised learning techniques. The Grassmann distance is employed to measure differences between parameter values based on the angles of solution subspaces.
Norapon Sukuntee, Saifon Chaturantabut, Hulun Guo   +2 more
wiley   +1 more source

Binet’s formula for operator-valued recursive sequences and the operator moment problem

Extracta Mathematicae
We derive a Binet-type formula for operator-valued sequences satisfying linear recurrence relations, extending the classical scalar case to the setting of bounded operators on Hilbert spaces.
A. Ech-charyfy, A. Ghanmi, K. Idrissi, A. Salhi   +3 more
doaj   +1 more source