Specialty
A theoretical study finds that characteristic polynomials and trace statistics of self-normalized random matrices settle into a family of Poisson-type limits, with a Gaussian form at the boundary.
Scientific publication4 min read
A new mathematical preprint shows that the Fourier coefficients of the canonical critical Gaussian multiplicative chaos on the circle tend to zero at high frequencies almost surely. The proof uses auxiliary random fields, concentration estimates and a covariance correction, but it does not establish a decay rate for the original coefficients.
Scientific publication4 min read
A new mathematical preprint gives a complete test for atomless distance distributions and describes the shape of spaces that can realize them.
Scientific publication4 min read
A theoretical analysis links a leading cutoff proportion to an exact integer threshold by tracking how expected payoffs change from one candidate to the next.
Scientific publication5 min read
A mathematical preprint reports a common pattern linking limits of weighted averages with the hidden distribution of their random weights.
Scientific publication4 min read
A mathematical filtering framework produced lower uncertainty and lower threshold probabilities in a simulated learning trajectory, but it has not been validated with child data.
Scientific publication4 min read
A theorem-based analysis finds that a noising-denoising construction can approach a dynamic Schrödinger bridge at rates tied to the reference diffusion's spectrum.
Scientific publication4 min read
A mathematical preprint finds that strong decay of long connections is sufficient for recurrence in specified one- and two-dimensional graph models, but leaves phase boundaries unresolved.
Scientific publication3 min read
A preprint reports that fixed OBABO step size and friction cannot guarantee uniform ballistic cold-start mixing in total variation across the full smooth strongly convex class.
Scientific publication4 min read
A mathematical analysis of mean-field coupled maps reports finite-time control of empirical measures, propagation of chaos and Gaussian fluctuation limits under stated assumptions.
Scientific publication4 min read
A mathematical preprint reports that the zeros of permanental characteristic polynomials built from Gaussian random matrices converge, with probability one, to a semicircle distribution rotated onto the imaginary axis. The result addresses a conjecture but remains asymptotic and limited to Gaussian ensembles.
Scientific publication3 min read
A theoretical preprint derives fractal dimensions and fine-scale mass laws for when and where independent Markov processes collide, with Hausdorff-measure comparisons for collision times and for spatial collisions above a critical threshold.
Scientific publication5 min read
An arXiv preprint gives an if-and-only-if characterization of independent increments for a specified class of non-negative random valuations. It also develops Poisson and geometric representations, while remaining entirely theoretical rather than empirical.
Scientific publication3 min read
A theoretical arXiv preprint examines how selected stochastic particle systems produce continuum density laws and model-specific fluctuation limits.
Scientific publication3 min read
A new arXiv preprint argues that gradient-free random-walk Metropolis can retain positive worst-case acceptance for certain steep target distributions when proposal size is tied to curvature and local force. Its implications for mixing remain conditional on additional geometric assumptions.
Scientific publication3 min read
Selected simulations found that an overshoot-based identity tracked martingale threshold crossings more closely than Ville’s bound, while the preprint extends the accounting to random times, finite-step paths and pooled tests.
Scientific publication4 min read
A new arXiv preprint derives a Gumbel extreme-value law for the largest nearest-neighbour gap in a fixed bulk region of the complex Ginibre ensemble, with explicit centering corrections and numerical constants. The result is asymptotic, applies to the complex Gaussian model away from the spectral edge, and has not been checked by simulation or finite-size data.
Scientific publication3 min read