{"total":8,"items":[{"citing_arxiv_id":"2605.22520","ref_index":29,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"The cell fluid model with Curie-Weiss interactions: special cases and analytical results","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-21T14:13:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Derives closed-form critical parameters, equation of state, binodal and spinodal curves for the cell fluid model in the J2 ≫ J1 limit matching van der Waals lattice gas, plus analytical extension to marginal J1=J2 stability using deformed exponential asymptotics.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.17186","ref_index":72,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Solving linear-rate ODE hierarchies (like master equations) using closures and operator splitting","primary_cat":"math.NA","submitted_at":"2026-05-16T22:46:15+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"For linear-rate master equations the generating function admits an exact composition-multiplier representation whose Taylor coefficients on any finite window are obtained from a closed lower-triangular ODE of size 2(N+1), independent of the truncation cap N; the same closure is combined with Strang–","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.09335","ref_index":10,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Functional Graphs for Predicting and Explaining Goal Failure in Sparse Goal-Conditioned RL","primary_cat":"cs.LG","submitted_at":"2026-05-10T05:16:51+00:00","verdict":"CONDITIONAL","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Local goal support in policy functional graphs predicts goal failure in sparse GCRL with F1 0.925, and a taxonomy explains residual failures from competing attractors.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"graph Gg = (S, E g), with one node per valid state and one edge from each state to its greedy successor: Eg ={(s, f g(s)) :s∈ S}. Since every state has exactly one outgoing edge, Gg is afunctional graph, or mapping digraph. Functional graphs are the standard graph representation of finite maps: each connected component contains exactly one directed cycle, with all remaining states feeding into that cycle through directed in-trees [10, 14]. We give the short proof in Appendix C. Viewed as a finite discrete dynamical system, the cycles ofGg are attractors and the states that flow into them form basins of attraction [7]. Thus, the graph representation is not only a visualization of the greedy policy; it makes the policy-induced attractor-basin structure exactly computable. 4 Proposition 1(Finite-map decomposition; standard)."},{"citing_arxiv_id":"2605.04006","ref_index":7,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Saddle-Point Asymptotics for Chromatic and Tutte Polynomial Evaluations of Complete Multipartite Graphs","primary_cat":"math.CO","submitted_at":"2026-05-05T17:28:40+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Saddle-point asymptotics for chromatic and Tutte polynomials of complete multipartite graphs prove Kotesovec's fixed-column conjecture and yield fixed-part and all-order expansions for OEIS sequences.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2604.24677","ref_index":5,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Local Limit of Random Regular Bipartite Planar Maps","primary_cat":"math.PR","submitted_at":"2026-04-27T16:37:57+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Uniform random d-regular bipartite planar maps converge locally to an almost surely one-ended recurrent infinite map.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2603.23424","ref_index":5,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Spectral Structure of the Mixed Hessian of the Dispersionless Toda $\\tau$-Function","primary_cat":"math-ph","submitted_at":"2026-03-24T16:55:05+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"The mixed Hessian develops exactly one logarithmically diverging eigenvalue per symmetry block at the analytic threshold zeta_c, with the remaining spectrum bounded, and scalar Gram functions continue regularly past the geometric threshold.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2508.14263","ref_index":35,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Tropicalized quantum field theory and global tropical sampling","primary_cat":"math-ph","submitted_at":"2025-08-19T20:52:47+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Tropicalized massive scalar QFT is exactly solvable via a non-linear recursion for effective action coefficients that computes graph moduli space volumes, enabling a polynomial-time sampling algorithm for high-order perturbative contributions.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2412.03525","ref_index":15,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Pin classes II: Small pin classes","primary_cat":"math.CO","submitted_at":"2024-12-04T18:12:06+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Pin classes exhibit a phase transition at μ ≈ 3.28277 with countably many below the threshold and uncountably many at it; all growth rates below μ are classified via periodic pin permutations.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null}],"limit":50,"offset":0}