1911 papers
This collection explores the fascinating intersection of mathematics and the physical world, where abstract theories meet real-world phenomena. From modeling complex systems to understanding the fundamental laws of nature, these papers demonstrate how mathematical tools help scientists decode the universe's most intricate patterns. The work here bridges pure logic with tangible applications, offering fresh perspectives on everything from fluid dynamics to quantum mechanics.
At Gist.Science, we monitor arXiv daily to bring you the newest preprints in this field as soon as they are posted. We process every new submission to provide both a clear, plain-language overview for the curious reader and a detailed technical summary for experts who need the specifics. This dual approach ensures that groundbreaking research is accessible to everyone, regardless of their background.
Below are the latest papers in Mathematics — Mp, ready for you to explore and understand.
This paper presents a unified combinatorial framework that derives strong spatial mixing directly from zero-freeness using a novel Christoffel-Darboux-type identity, thereby extending Weitz's FPTAS to all known zero-free regions of general 2-spin systems with pinned vertices, including regimes where traditional tree-recurrence proofs fail.
This paper bridges information-theoretic and relativistic causality by refining causal inference techniques for unfaithful models, introducing the geometric property of conicality to distinguish space-time dimensions, and establishing a correspondence between faithful causal models and conical space-times to clarify the relationship between no-superluminal-signalling constraints and causal structures.
This paper establishes a geometric realization of spherical T-duality for oriented -bundles over by relating it to bifree -diagrams and demonstrating that, after stabilization, these dualities between homotopy 7-spheres (including exotic ones like the Gromoll–Meyer sphere) are implemented by product-preserving generalized logarithmic transformations.
This paper determines the exact bulk one-arm exponent for CLE percolations in the non-simple regime by leveraging the coupling between Liouville quantum gravity and SLE curves, thereby completing the set of arm exponents for the fuzzy Potts model and providing the first prediction for the bichromatic one-arm exponent of the critical 3-state Potts model.
This paper presents a quantum algorithm that efficiently generates arbitrary -qubit pure superposition states with specified precision using one-qubit rotations, multi-controlled C-NOT gates, and a crucial controlled measurement to eliminate garbage without requiring classical pre-calculation or suffering from low success probabilities.
This paper establishes the "Physical Counting Impossibility Theorem," which argues that no fixed-budget physical substrate can provide universal exact proof because the thermodynamic cost of retaining the necessary irreversible records eventually exceeds the system's finite capacity.
This paper proves that the free state of the Potts model on Cayley trees is either extremal or glassy, a result that extends the characterization of the Ising model's free state to the entire spin-glass regime.
This paper establishes universal asymptotic formulas for the number of connected, labeled, genus- Eulerian maps with arbitrary degree sequences as the vertex count grows, linking the leading constant to the Painlevé I equation via orthogonal polynomials and analytic combinatorics, while also providing the first exact enumeration for genus-1 non-regular maps.
This paper establishes the local Lipschitz continuity of the focalization and cut times in globally hyperbolic spacetimes, extending classical Riemannian results to the Lorentzian setting and proving that the cut locus has a Hausdorff codimension of at least one.
This paper introduces the "Hamilton extension," a constructive procedure for four-dimensional vector sets that transforms KS-colorable configurations into KS-uncolorable ones by generating emergent measurement contexts, thereby establishing that six vectors constitute the minimal parent set capable of producing logical Kochen-Specker contradictions through this mechanism.