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We prove the Carlson-Toledo conjecture (for all Kahler groups which do not have property T of Kazhdan).We deduce a conjecture of Goldman-Donaldson for all 3-manifold groups which are rich in the sense of [Re2].

Differential Geometry · Mathematics 2007-05-23 Alexander Reznikov

In this paper, we provide a fairly general self-reference-free proof of the Second Incompleteness Theorem from Tarski's Theorem of the Undefinability of Truth.

Logic · Mathematics 2018-03-13 Albert Visser

This paper can be viewed as a sequel to the author's long survey on the Zimmer program \cite{F11} published in 2011. The sequel focuses on recent rapid progress on certain aspects of the program particularly concerning rigidity of Anosov…

Dynamical Systems · Mathematics 2019-02-26 David Fisher

Errors in Eberly's derivation of several Bell inequalities are pointed out: (1) it is based on an equation that is incorrect; (2) it uses neither two-particle states nor locality to derive Bell's inequalities and; (3) it does not use…

Quantum Physics · Physics 2009-02-11 Luiz Carlos Ryff

We refute the arguments by Anton in cond-mat/0004390, which set out to disprove the existence of a collapse transition for a randomly forced inelastic particle.

Statistical Mechanics · Physics 2007-05-23 Stephen J. Cornell , Michael R. Swift , Alan J. Bray

It is shown that contrary to claims of Ref. [1] the formulated in the proper physical variables Low theorem [2] for soft photon emission does not require any modification. We also reject the criticism in Ref. [1] of the papers [3,4]. At the…

High Energy Physics - Phenomenology · Physics 2024-03-20 V. S. Fadin , V. A. Khoze

In [RS1], we defined q-analogues of alien derivations and stated their basic properties. In this paper, we prove the density theorem and the freeness theorem announced in loc. cit. [RS1] Ramis J.-P. and Sauloy J., 2007. The q-analogue of…

Quantum Algebra · Mathematics 2007-11-27 J. -P. Ramis , J. Sauloy

We prove Hadwiger's Conjecture for $\{\text{co-claw}, \text{co-gem}\}$-free graphs and $\{\text{fork}, \text{antifork}\}$-free graphs, where the co-claw is the disjoint union of a triangle and a vertex, the co-gem is the disjoint union of a…

Combinatorics · Mathematics 2026-05-28 Daniel Carter , Jung Hon Yip

We classify compact K\"ahler threefolds $X$ with a free group of automorphisms acting freely on $X$.

Dynamical Systems · Mathematics 2020-02-04 Serge Cantat , Olga Paris-Romaskevich , Junyi Xie

Our objective in this note is to comment briefly on the newly emerging literature on computer-aided proofs in Social Choice Theory. We shall specifically comment on two papers, one by Tang and Lin (2009) and another by Geist and Endriss…

Logic in Computer Science · Computer Science 2014-03-17 Siddharth Chatterjee , Arunava Sen

This Comment argues that two assumptions, which are presented as basic assumptions of Bell's theorem in [J. Handsteiner et al., Phys. Rev. Lett. 118, 060401 (2017)] and elsewhere, in fact follow from more basic premises. Measurement…

Quantum Physics · Physics 2017-05-12 Nathan Argaman

We argue that the concepts of "freedom of choice" and of "causal order" are intrinsically linked: a choice is considered "free" if it is correlated only to variables in its causal future. We discuss the implications of this to Bell-type…

Quantum Physics · Physics 2013-02-20 Roger Colbeck , Renato Renner

We consider Fujita's freeness conjecture in a relative setting and prove a criterion by proving a correct Q-divisor version of the Kollar vanishing theorem.

Algebraic Geometry · Mathematics 2007-05-23 Yujiro Kawamata

Bell's theorem is based on three assumptions: realism, locality, and measurement independence. The third assumption is identified by Bell as linked to the freedom of choice hypothesis. He holds that ultimately the human free will can ensure…

Quantum Physics · Physics 2020-06-03 Romeu Rossi Junior , Patrícia Kauark Leite

The main aim of this paper is to make a remark about the relation between (i) dualities between theories, as `duality' is understood in physics and (ii) equivalence of theories, as `equivalence' is understood in logic and philosophy. The…

History and Philosophy of Physics · Physics 2018-06-06 Jeremy Butterfield

In a Comment [Phys. Rev. Lett. 113, 029801 (2014)] on our Letter on self-propelled asymmetric particles [Phys. Rev. Lett. 110, 198302 (2013); arXiv:1302.5787], Felderhof claims that our theory based on Langevin equations would be…

This chapter surveys recent and less recent results on convergence of Kleinian representations, following Thurston's Double Limit and "AH(acylindrical) is compact" Theorems.

Geometric Topology · Mathematics 2021-11-29 Cyril Lecuire

We comment on the paper "Feynman Effective Classical Potential in the Schrodinger Formulation"[Phys. Rev. Lett. 81, 3303 (1998)]. We show that the results in this paper about the time evolution of a wave packet in a double well potential…

Quantum Physics · Physics 2009-11-07 G. Andronico , V. Branchina , D. Zappala'

We respond to comments on our paper, titled "Instrumental variable estimation of the causal hazard ratio."

Methodology · Statistics 2022-10-26 Linbo Wang , Eric Tchetgen Tchetgen , Torben Martinussen , Stijn Vansteelandt

In the paper it is demonstrated that Bells theorem is an unprovable theorem.

General Physics · Physics 2021-11-16 Han Geurdes , Koji Nagata , Tadao Nakamura , Ahmed Farouk