2025 MATRIX Annals Part I
The 2025 MATRIX Annals Part I, the ninth book in the MATRIX Book Series, documents scientific activities at MATRIX in the first half of 2025. Pre-publication versions of the articles in the book are posted below.
We expect that the 2025 MATRIX Annals Part I will be indexed by zbmath and mathscinet.
MATRIX Research Programs
MATRIX-MFO Tandem Workshop
Nonlinear Geometric Diffusion Equations
MATRIX-AMSI PhD Student Symposium
Mathematical Structures in Statistical Mechanics
Refereed Articles
MATRIX Program: Probabilistic Models in Evolutionary Biology and Game Theory
Jack Mills, Tuan-Minh Nguyen
The secretary problem with strategic secretaries
Conrad Burden, Robert Griffiths
Coalescence in the Feller Branching Diffusion
Georgy Sofronov, Joanna Rymaszewska, Krzysztof J. Szajowski
Holistic Decision-Making in Stopping Problems: Emphasizing Psychological Aspects
Jie Yen Fan, Kais Hamza, Fima C. Klebaner, Ziwen Zhong
Estimation of rates in population-age-dependent processes by means of test functions
Kamil Dedecius and Vladimira Seckarova
Sequential modeling of multivariate count
MATRIX Program: Gradient Flows in Geometry and PDE
Piotr Rybka
Two Examples of Gradient Flows with a Small Parameter
Yoshikazu Giga, Sho Katayama
Remarks on graph-like forward self-similar solutions to the surface diffusion flow equations
Nobuhito Miyake
Asymptotic expansion of heat contents for higher order parabolic equations
Kensuke Yoshizawa
Obstacle problems for the elastic flow and related topics
Tatsuya Miura
Smooth compactness of elasticae
Ben Andrews, Glen Wheeler
On the planar free elastic flow with small oscillation of curvature
MATRIX Program: Geometric Analysis and Symmetries
Yann Bernard
On a class of conformally-invariant energies on four-dimensional submanifolds
Kyle Broder, Gang Tian
Mortal solutions to the Kähler–Ricci flow
Peter Petersen, James Stanfield
Poincare polynomials and curvature operators and symmetric spaces
MATRIX Program: Splitting Algorithms – Advances, Challenges, and
Opportunities
Jordan Collard, Scott B. Lindstrom
Quadratic convergence of a projection method for a plane curve feasibility problem
Jan Harold Alcantara, Felipe Atenas
A relaxed version of Ryu’s three-operator splitting method for structured nonconvex optimization
MATRIX Program: Numerical Analysis of Interface and Multiphysics
Problems
Rekha Khot, Bishnu P. Lamichhane, Ricardo Ruiz-Baier
An ultra-weak three-field finite element formulation for the biharmonic and extended Fisher–Kolmogorov equations
MATRIX Program: Triangulations in Low-Dimensional Topology
Eric Chesebro, Justin Lanier, Emma N. McQuire, James Morgan, Jessica S. Purcell, Henry Segerman
Volumes of ideal hyperbolic drums
Jonathan A. Hillman
The F2-cohomology rings of 3-manifold
MATRIX Program: Combinatorics of McKay and Wormald
Jack Allsop, Kevin Hendrey, Gordon Royle, Angus Southwell, Jane Tan, Ian M. Wanless, David R. Wood
Latin Tableaux
Mahdieh Hasheminezhad, Mikhail Isaev, Brendan D. McKay and Rui-Ray Zhang
On Pauling’s residual entropy estimate for regular graphs with growing degree
Other Contributed Articles
MATRIX Program: Gradient Flows in Geometry and PDE
Mashniah A. Gazwani and James A. McCoy
Length-constrained, length-penalised and free elastic flows of planar
curves inside cones
MATRIX Program: Triangulations in Low-Dimensional Topology
Stefan Friedl and Kenan Ince
When does the Table Theorem imply a solution to the Square Peg Problem?
MATRIX Program: Combinatorics of McKay and Wormald
Pu Gao, Catherine Greenhill, Carlos Hoppen, Hongyi Lyu, Xavier Pérez–Giménez, Cristiane Sato, Nick Wormald, Rui-Ray Zhang
Finding Nemo at MATRIX
Brett Kolesnik
On plane trees and their connections with graphical sequences and random walks
Brett Kolesnik, Tamás Makai, Rajko Nenadov, Xavier Pérez-Giménez, Paweł Prałat and Maksim Zhukovskii
Towards universality in graph bootstrap percolation