
Explore anomalous transport of tracers in active baths, focusing on long-time dynamics, ratchet effects, and unique friction properties in low-dimensional systems.

Explore large deviations in particle movement models, analyzing entropy production and dynamical activity. Discover various phase transitions and their implications for rate function scaling.

Explore single-file transport and bath-tracer correlations in confined systems, focusing on the Symmetric Exclusion Process and its applications to non-equilibrium situations.

Explore universal exponential tails in diffusing particle packets, extending large deviation theory for continuous time random walks and uncovering general behaviors in transport phenomena.

Explore stochastic resetting in dynamical processes, its impact on system behavior, and applications in chemical reactions and search processes.

Explore entropy growth in free expansion of ideal gas, examining macrostates, irreversibility, and factors influencing entropy increase in non-equilibrium systems.

Explore injectivity in second-gradient nonlinear elasticity, delving into advanced mathematical concepts and their applications in materials science.

Explore quantum projector identification in AdS/CFT, examining complexity in symmetric group algebras and holographic implications for half-BPS states in N=4 SYM.

Explore advanced concepts in general relativity, focusing on geometry beyond Riemann and examining curvature and rigidity in spacetime.

Explore advanced concepts in general relativity, focusing on geometry beyond Riemann and examining curvature and rigidity in spacetime.

Explore renormalization group and quantum error correction in tensor network models, deriving exact equations for wave functional scale dependence and discussing continuum network structures.

Explore the Lorentzian IKKT matrix model with mass term as a nonperturbative superstring theory formulation. Delve into regularization, classical solutions, and potential emergence of expanding spacetime.

Explore synthetic Lorentzian geometry foundations, focusing on time separation functions, curvature bounds, and applications in General Relativity, including recent developments in singularity theorems.

Explore mathematical approaches to reliable AI, including generalization guarantees, explainability, and applications in imaging and physics, while discussing limitations and connections to novel computing.

Explore Brownian motion near interfaces using experimental, theoretical, and numerical methods. Analyze microparticle trajectories, probability densities, and non-Gaussian behavior to infer nanoscale properties.

Explore scattering solutions for wave equations with polynomially decaying sources, analyzing radiation fields and asymptotic behavior near the lightcone in nonlinear wave contexts.

Explore metric geometry of persistence diagram spaces, focusing on synthetic curvature bounds and applications in non-smooth, infinite-dimensional contexts.

Explore advanced optimization techniques for Heaviside composite functions and complementarity constraints using the progressive integer programming method.

Explore computer-aided Lyapunov analyses and counter-examples for first-order optimization methods, focusing on constructive approaches and structural properties.

Explore high-order proximal operators and Moreau envelopes in nonconvex optimization, examining properties, algorithms, and convergence analysis for advanced mathematical applications.

Explore computational models of biological tissue mechanics under shear forces, examining solidification, thickening, plasticity, and multilayered responses in developmental processes.