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We propose to determine the bifurcation diagrams of fixed points using their coordinates as control parameters. This method can lead to exact solutions to otherwise intractable bifurcation problems.

Statistical Mechanics · Physics 2013-01-23 David Andrieux

We consider the problem of eliciting expert assessments of an uncertain parameter. The context is risk control, where there are, in fact, three uncertain parameters to be estimates. Two of these are probabilities, requiring the that the…

Artificial Intelligence · Computer Science 2020-10-23 Paul B. Kantor

We study the way the unitary evolution of spin 1/2 particules can be represented in a counterfactual definiteness setting. More precisely, by representing the state of such a particule by a triplet of values corresponding to the supposedly…

Quantum Physics · Physics 2012-10-17 Olivier Brunet

Low lying scalar resonances emerge as a necessary part to adjust chiral perturbation theory to experimental data once unitarity constraint is taken into consideration. I review recent progress made in this direction in a model independent…

High Energy Physics - Phenomenology · Physics 2009-05-06 Han-qing Zheng

We consider the current results in search for and description of temporal variations of fundamental physical constants (FPCs) obtained under laboratory and astrophysical conditions. On the basis of fixed values of base constants, those FPCs…

High Energy Physics - Phenomenology · Physics 2022-10-25 K. A. Bronnikov , V. D. Ivashchuk , V. V. Khruschov

We show that the number of unit-area triangles determined by a set of $n$ points in the plane is $O(n^{9/4+\epsilon})$, for any $\epsilon>0$, improving the recent bound $O(n^{44/19})$ of Dumitrescu et al.

Computational Geometry · Computer Science 2010-01-27 Roel Apfelbaum , Micha Sharir

We introduce a new distance and we use it to parameter estimation purposes. We observe how it operates and we use in its place the usual methods of estimation which we call the methods of the new approach. We realize that we obtain a…

Statistics Theory · Mathematics 2008-12-08 Ahmed Guellil , Tewfik Kernane

Two mechanisms of decoherence in ion traps are studied, specially related to the experiment [Kielpinski et al., Science 291 (2001) 1013]. Statistical hypothesis are made about the unknown variables and the expected behaviour of the…

Quantum Physics · Physics 2007-06-13 M. O. Terra Cunha , M. C. Nemes

Unitarity is the fundamental property of the S-matrix while its usage for a scattering of unstable particles has been subtle as unstable particles do not appear in the asymptotic states. Defining unstable-particle amplitudes as residues of…

High Energy Physics - Theory · Physics 2023-04-05 Katsuki Aoki

I present a selection of conceptual and mathematical problems in the foundations of modern physics as they derive from the title question. Contribution to a panel session, "Springer Forum: Quantum Structures -- Physical, Mathematical and…

Quantum Physics · Physics 2011-01-04 Paul Busch

The energy system studies include a wide range of issues from short term (e.g. real-time, hourly, daily and weekly operating decisions) to long term horizons (e.g. planning or policy making). The decision making chain is fed by input…

Systems and Control · Electrical Eng. & Systems 2019-11-26 Alireza Soroudi , Turaj Amraee

The status of multifractional theories is reviewed using comparative tables. Theoretical foundations, classical matter and gravity dynamics, cosmology and experimental constraints are summarized and the application of the multifractional…

High Energy Physics - Theory · Physics 2021-08-16 Gianluca Calcagni

The unitarity triangle on the first quadrant in the $\rho -\eta$ plane is discussed in the framework of the quark mass matrices in the NNI basis. If the quark mass matrices of the up-type is the Fritzsch one and the down-type is the one…

High Energy Physics - Phenomenology · Physics 2009-10-28 Toshiaki Ito

We investigate determinants of random unitary pencils (with scalar or matrix coefficients), which generalize the characteristic polynomial of a single unitary matrix. In particular we examine moments of such determinants, obtained by…

Functional Analysis · Mathematics 2025-06-06 Michael T. Jury , George Roman

In the last two decades experiments have established the existence of neutrino oscillations and most of the related parameters have by now been measured with reasonable accuracy. These results have accomplished a major progress for particle…

High Energy Physics - Phenomenology · Physics 2015-06-19 Guido Altarelli

This talk gives an introduction to the Standard Model Cabibbo-Kobayashi-Maskawa matrix and methods to extract information on the parameters of the unitarity triangle from B decays.

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefan W. Bosch

Current evidence for neutrino oscillation is reviewed, some areas for closer investigation are suggested, and a plausible future experimental program is summarized.

High Energy Physics - Experiment · Physics 2017-08-23 R. G. H. Robertson

We determine the elements of the leptonic mixing matrix, without assuming unitarity, combining data from neutrino oscillation experiments and weak decays. To that end, we first develop a formalism for studying neutrino oscillations in…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. Antusch , C. Biggio , E. Fernandez-Martinez , M. B. Gavela , J. Lopez-Pavon

New position uncertainty (delocalization) measures for a particle on the circle are proposed and illustrated on several examples, where the previous measures (based on 2pi-periodic position operators) appear to be unsatisfactory. The new…

Quantum Physics · Physics 2009-11-10 D. A. Trifonov

Interpretation and understanding of the evidence for neutrino oscillations depends on knowledge of the atmospheric neutrino beam. In this talk I assess how well various features are known. The goal is to determine to what extent…

High Energy Physics - Phenomenology · Physics 2011-05-12 T. K. Gaisser
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