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Related Articles from SNS
Structural properties of the implicit function defined by an integral self-consistency equation
arXiv:2606.04243v1 Announce Type: new Abstract: We study the integral equation $\int_0^m \eta\rho(\eta)/(C-\eta)\,d\eta = 1$ with $C>m$, where $\rho$ is a $C^1$ probability density on $[0,M]$ vanishing polynomially at $\eta=M$. Setting $\mathcal{I}^+(m) := \lim_{C \downarrow m}\int_0^m \eta\rho(\eta)/(C-\eta)\,d\eta$ and $\Omega := \{m \in (0,M) : \mathcal{I}^+(m) > 1\}$, the equation determines $C$ implicitly as a function of $m$ on $\Omega$, and our object of study is the dimensionless...
Explore the mind-bending and paradoxical art of M C. Escher
A new retrospective of the artist beloved by mathematicians opens this week. Get up close to the art with our interactive story
(T)oo (M)uch (C)haos? Mamata's party faces its biggest crisis — Latest developments
Trinamool means "grassroots" — a name chosen by Mamata Banerjee when she founded the party in 1998 to project it as a movement powered from the ground up. But on Wednesday, the castle that Mamata built for over two decades seemed vulnearable and perhaps facing its greatest crisis. In an unprecedented revolt, that has drawn parallels from when Shiv Sena broke in 2022, 58 rebel TMC MLAs led by expelled leader Ritabrata Banerjee claimed control of the Trinamool Congress legislature party and...
Two-component exciton condensates in an electron–hole bilayer
Abstract Macroscopic quantum coherence emerges when bosons condense into a Bose–Einstein condensate (BEC)1,2,3,4,5. Excitons are a long-sought solid-state route to high-temperature BECs with strong interactions, electrical tunability and potentially multicomponent spinor order, but conclusive evidence for equilibrium condensation has remained elusive. Here we report evidence for two-component exciton BECs in MoSe2/hBN/WSe2 electron–hole bilayers6,7,8,9 by probing the spin–valley...
AIADMK faces fresh exodus as 3 ex-ministers, 10 ex-MLAs head to TVK
CHENNAI: The exodus from the AIADMK continued on Saturday, with several senior leaders making a beeline for the ruling TVK. Former AIADMK ministers Udumalai K Radhakrishnan, Kadambur C Raju and M C Sampath are the latest to join the growing list of defectors. The trio, along with their supporters, arrived at the TVK headquarters in Panaiyur to formally join the ruling party.
Klein--Gordon and Dirac Oscillators with an Apparent Mass Induced by the Momentum-Space Dual of the Fock--Lorentz Transformations
arXiv:2606.05226v1 Announce Type: new Abstract: We propose a controlled momentum-space dual of the Fock--Lorentz (FL) transformations and use it to derive a deformed relativistic mass shell. Restricting the FL conformal factor to the cosmological-frame world line $\vx=0$, the invariant relation takes the form $(E^{2}-\vp^{2}c^{2})(1+ct/R)^{2}=m_{0}^{2}c^{4}$, which is equivalent to the standard special-relativistic dispersion law with a time-dependent apparent mass $\mapp(t)=m_{0}/(1+ct/R)$....
High-Order Schemes for Hyperbolic Conservation Laws Using Young Measures
arXiv:2509.02107v2 Announce Type: replace Abstract: We develop high-order numerical schemes to solve random hyperbolic conservation laws using linear programming. The proposed schemes are high-order extensions of the existing first-order scheme introduced in [{\sc S. Chu, M. Herty, M. Luk\'a\v{c}ov\'a-Medvi{\softd}ov\'a, and Y. Zhou}, SIAM J. Sci. Comput., 48 (2026)], where a novel structure-preserving numerical method using a concept of generalized, measure-valued solutions to solve random...
SIRT7 regulates dosage compensation and safeguards the female X chromosome
Abstract Sirtuins are deacetylases implicated in stress responses and longevity in mammals1,2. Although their differential impact on disease for the two sexes has been noted3,4,5,6,7, the underlying reasons are unclear. Here, using Sirt7 as a model in mice, we examine the mechanisms leading to sex differences and find that Sirt7−/− female mice have decreased fitness throughout their lifespan.
Lignin to adipic acid in a high-yield chemical and biological redox process
Abstract Viable manufacturing pathways to produce bio-based chemicals from renewable feedstocks, such as lignin derived from plant biomass, are needed to decarbonize the chemicals manufacturing sector. Converting the recalcitrant lignin polymer to valuable bioproducts remains a longstanding challenge in biorefining, with the highest reported single-product yield from lignin currently around 20 wt% (refs. Most existing lignin depolymerization strategies target aryl–ether bond cleavage, which...