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A principle is modified that underlies the theory of organic fiducial inference as this theory was presented in an earlier paper. This modification, which is arguably a natural one to make, allows Bayesian inference to sometimes have a…

Other Statistics · Statistics 2021-11-18 Russell J. Bowater

We analyze the notion of quantum coherence in an interference experiment. We let the phase shifts fluctuate according to a given statistical distribution and introduce a decoherence parameter, defined in terms of a generalized visibility of…

Quantum Physics · Physics 2010-01-31 A. Mariano , P. Facchi , S. Pascazio

Crull (2014) claims that by invoking decoherence it is possible (i) to obviate many ``fine grained'' issues often conflated under the common designation of measurement problem, and (ii) to make substantial progresses in the fields of…

Quantum Physics · Physics 2015-04-13 Antonio Vassallo , Michael Esfeld

In this paper, we mainly investigate distortion and covering theorems on some classes of pluriharmonic mappings.

Complex Variables · Mathematics 2014-10-07 Sh. Chen , S. Ponnusamy

We present a theory of compatible differential constraints of a hydrodynamic hierarchy of infinite-dimensional systems. It provides a convenient point of view for studying and formulating integrability properties and it reveals some hidden…

Exactly Solvable and Integrable Systems · Physics 2016-08-24 L. Martínez Alonso , A. B. Shabat

G\"odel's Incompleteness Theorems suggest that no single formal system can capture the entirety of one's mathematical beliefs, while pointing at a hierarchy of systems of increasing logical strength that make progressively more explicit…

Logic · Mathematics 2023-04-25 Mateusz Łelyk , Carlo Nicolai

In this work, we consider different theoretical aspects and simple applications of the Milburn equation which is governed by a parameter controlling what is known as intrinsic decoherence. The main goal is to show some similarities also…

Quantum Physics · Physics 2024-10-15 S. V. Mousavi , S. Miret-Artés

It is tried to axiomatize the transparent theory of music.

General Mathematics · Mathematics 2021-01-12 Seyyed Mehdi Nemati

In this paper we propose a closed-system perspective to study decoherence. From this perspective we analyze the spin-bath model as presented in the literature, and a natural generalization of that model. On the basis of the results obtained…

Quantum Physics · Physics 2009-07-14 Mario Castagnino , Sebastian Fortin , Olimpia Lombardi

This thesis has three aims: (1) to clarify in detail the relation between the decoherence mechanism and the problem of definite outcomes, (2) to dispel common misconceptions about the measurement problem in quantum mechanics, and (3) to…

Quantum Physics · Physics 2019-09-17 Klaus Colanero

Uncertainty plays a crucial role in the machine learning field. Both model trustworthiness and performance require the understanding of uncertainty, especially for models used in high-stake applications where errors can cause cataclysmic…

Machine Learning · Computer Science 2022-11-29 Shuo Chen

It is pointed out that current conservation alone does not suffice to prove Hara's theorem as it was claimed recently. By explicit calculation we show that the additional implicit assumption made in such "proofs" is that of a sufficiently…

High Energy Physics - Phenomenology · Physics 2009-10-30 P. Zenczykowski

Using the notion of existentially closed structures, we obtain embedding theorems for groups and Lie algebras. We also prove the existence of some groups and Lie algebras with prescribed properties.

Group Theory · Mathematics 2014-05-07 M. Shahryari

A concept of implicit links for Complex Networks has been defined and a new value - cohesion factor, which allows to evaluate numerically the presence of such connection between any two nodes, has been introduced. We introduce a…

Disordered Systems and Neural Networks · Physics 2010-08-25 M. I. Zhenirovskyy , D. V. Lande , A. A. Snarskii

This course aims to introduce the student to random matrix models for decoherence and fidelity decay. They present a very powerful alternate approach, that emphasizes the disordered character of many environments and uncontrollable…

Quantum Physics · Physics 2008-04-11 Carlos Pineda , Thomas H. Seligman

We introduce a notion of oriented dialgebra and develop a cohomology theory for oriented dialgebras based on the possibility to mix the standard chain complexes computing group cohomology and associative dialgebra cohomology. We also…

Rings and Algebras · Mathematics 2020-09-29 Ali N. A. Koam , Ripan Saha

In the recent development in a various disciplines of physics, it is noted the need for including the deformed versions of the exponential functions. In this paper, we consider the deformations which have two purposes: to have them like…

Classical Analysis and ODEs · Mathematics 2010-05-28 Miomir S. Stanković , Sladjana D. Marinković , Predrag M. Rajković

In this note, we discuss a generalization of the well-known implicit function theorem to the time-delay case. We show that the latter problem is closely related to the bicausal changes of coordinates of time-delay systems. An iterative…

Systems and Control · Electrical Eng. & Systems 2022-12-21 Yahao Chen , Malek Ghanes , Jean-Pierre Barbot

We investigate the scaling properties of implicit deductive reasoning over Horn clauses in depth-bounded Transformers. By systematically decorrelating provability from spurious features and enforcing algorithmic alignment, we find that in…

Artificial Intelligence · Computer Science 2026-05-07 Enrico Vompa , Tanel Tammet

The question of classicality is addressed in relation with the shape of the nuclear skeleton of molecular systems. As the most natural environment, the electrons of the molecule are considered as continuously monitoring agents for the…

Quantum Physics · Physics 2021-01-05 Edit Matyus , Patrick Cassam-Chenai