
Explore non-Hermitian quantum physics, from sensing applications to exotic topological phenomena. Discover dispersive measurements, exceptional point sensing, and novel approaches in quantum dynamics and topology.

Explore the intersection of biology and physics, covering topics from molecular evolution to ecology. Learn about physical constraints, evolutionary outcomes, and mathematical models in living systems.

Explore advanced general relativity concepts, including black holes, spacetime geometry, and Raychaudhuri equations, in this comprehensive lecture series honoring physicist Amal Kumar Raychaudhuri.

Explore linear stability analysis, pattern formation, and dynamical systems in biology. Covers fixed points, Ginzburg-Landau equation, perturbations, and Swift-Hohenberg model. Includes examples and Q&A session.

Explore stochastic chemical reaction networks, their examples, definitions, and the deficiency zero theorem in this comprehensive lecture on statistical physics of complex systems.

Explore biological pattern formation through nonequilibrium physics, from snake pigmentation to tissue development. Discover emergence, hydrodynamics, and reaction-diffusion models in this comprehensive lecture on complex biological systems.

Explore quantum aspects of black holes, including traversable wormholes, quantum teleportation, and the Hayden-Preskill problem. Delve into chaotic systems, random matrices, and gravity solutions for the ramp.

Explores quantum aspects of black holes, covering Schwarzschild solutions, ER=EPR, AMPS paradox, 2D gravity models, chaos in quantum systems, and the connection between black holes and quantum information theory.

Explore machine learning in string theory landscape, covering Calabi-Yau manifolds, cohomology, and string phenomenology. Gain insights into complex geometries and their applications in theoretical physics.

Explore invariants of 6-dimensional manifolds, covering vector spaces, complex numbers, and vertex operator algebras. Delve into state field correspondence and multi-dimensional environments.

Explore soliton quantization and random partitions in Benjamin Ono equations, focusing on one-phase solutions, simulations, and Hamiltonian structures in dispersive wave theory.

Explore stochastic forcing in Boussinesq equations, covering existence, uniqueness, stability, and numerical simulations for fluid dynamics and convection phenomena.

Explore vorticity measures and vanishing viscosity in fluid dynamics, focusing on 2D Navier-Stokes equations and their relation to Euler equations in bounded domains.

Explores Onsager's Conjecture in fluid dynamics, covering energy conservation in Euler equations, compressible fluids, and entropy conservation, with applications to turbulence theory.

Explore Haar measure on compact groups, high-dimensional geometry, and quantum chaos through the lens of Elizabeth Meckes' groundbreaking work and recent developments in the field.

Explores regularizing effects of transport noise on 3D Navier-Stokes equations, demonstrating improved vorticity control and well-posedness under specific noise conditions.

Explore rough perturbations of Navier-Stokes equations, focusing on solution definitions, well-posedness, and physical relevance in terms of conserved quantities.

Explore fast Fourier spectral methods for solving the Boltzmann equation, addressing computational challenges and showcasing applications in rarefied gas dynamics.

Gradient flow approach to linear kinetic equations, exploring entropy dissipation inequality and large deviation principles. Discusses potential extensions to non-linear cases and connections to Markov chains.

Explore numerical homogenization for multiscale PDEs, covering Bayesian approaches, exponential decaying bases, and efficient solvers. Learn about applications in geophysics, materials science, and biology.

Explora la teoría y modelado de la fractura dinámica en sólidos frágiles, desde enfoques clásicos hasta modelos no locales multiescala, abordando desafíos computacionales y simulaciones peridinámica.