Results 41 to 50 of about 127 (112)

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 a two-parameter generalization of Jacobsthal numbers and its graph interpretation

, 2018
In this paper we introduce a two-parameter generalization of the classical Jacobsthal numbers ((s,p)-Jacobsthal numbers). We present some properties of the presented sequence, among others Binet’s formula, Cassini’s identity, the generating function ...
Bród, Dorota
core   +1 more source

On some identities for the DGC Leonardo sequence [PDF]

Notes on Number Theory and Discrete Mathematics
In this study, we examine the Leonardo sequence with dual-generalized complex (DGC) coefficients for 𝔭∈ℝ. Firstly, we express some summation formulas related to the DGC Fibonacci, DGC Lucas, and DGC Leonardo sequences.
Çiğdem Zeynep Yılmaz, Gülsüm Yeliz Saçlı   +1 more
doaj   +1 more source

Relations between Generalized Bi-Periodic Fibonacci and Lucas Sequences

Mathematics, 2020
In this paper we consider a generalized bi-periodic Fibonacci {fn} and a generalized bi-periodic Lucas sequence {qn} which are respectively defined by f0=0, f1=1, fn=afn−1+cfn−2 (n is even) or fn=bfn−1+cfn−2 (n is odd), and q0=2d, q1=ad, qn=bqn−1+cqn−2 ...
Younseok Choo
doaj   +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

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

Some New Generalizations of the Lucas Sequence

, 2017
In this paper, we investigate the generalized Lucas, the generalized complex Lucas and the generalized dual Lucas sequence using the Lucas number. Also, we investigate special cases of these sequences.
Fugen TORUNBALCI AYDIN, Salim YUCE
core   +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

Hyper-Dual Leonardo Quaternions

Journal of New Theory
In this paper, hyper-dual Leonardo quaternions are defined and studied. Some basic properties of the hyper-dual Leonardo quaternions, including their relationships with the hyper-dual Fibonacci quaternions and hyper-dual Lucas quaternions, are analyzed ...
Tülay Yağmur
doaj   +1 more source