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pro vyhledávání: '"Svaiter, B. F."'
We investigate the critical properties of continuous random field Ising model (RFIM). Using the distributional zeta-function method, we obtain a series representation for the quenched free energy. It is possible to show that for each moment of the pa
Externí odkaz:
http://arxiv.org/abs/2408.14184
Critical Casimir effect appears when critical fluctuations of an order parameter interact with classical boundaries. We investigate this effect in the setting of a Landau-Ginzburg model with continuous symmetry in the presence of quenched disorder. T
Externí odkaz:
http://arxiv.org/abs/2402.01588
Autor:
Leitao, A., Svaiter, B. F.
Publikováno v:
Numerical Functional Analysis and Optimization 39 (2018), no. 11, 1153-1180
We propose and analyze a family of successive projection methods whose step direction is the same as Landweber method for solving nonlinear ill-posed problems that satisfy the Tangential Cone Condition (TCC). This family enconpasses Landweber method,
Externí odkaz:
http://arxiv.org/abs/2011.06302
In this article we propose a novel strategy for choosing the Lagrange multipliers in the Levenberg-Marquardt method for solving ill-posed problems modeled by nonlinear operators acting between Hilbert spaces. Convergence analysis results are establis
Externí odkaz:
http://arxiv.org/abs/2011.05890
Autor:
Leitao, A., Svaiter, B. F.
Publikováno v:
Inverse Problems 32 (2016), no. 1, 025004
In this article we combine the projective Landweber method, recently proposed by the authors, with Kaczmarz's method for solving systems of non-linear ill-posed equations. The underlying assumption used in this work is the tangential cone condition.
Externí odkaz:
http://arxiv.org/abs/2011.05870
Publikováno v:
IMA Journal of Numerical Analysis 40 (2020), no. 1, 606-627
In this article we propose a novel nonstationary iterated Tikhonov (NIT) type method for obtaining stable approximate solutions to ill-posed operator equations modeled by linear operators acting between Hilbert spaces. Geometrical properties of the p
Externí odkaz:
http://arxiv.org/abs/2011.05372
Akademický článek
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Autor:
Svaiter, B. F., Svaiter, N. F.
Recently we introduced a new technique for computing the average free energy of a system with quenched randomness. The basic tool of this technique is a distributional zeta-function. The distributional zeta-function is a complex function whose deriva
Externí odkaz:
http://arxiv.org/abs/1606.04854
Autor:
Svaiter, B. F., Svaiter, N. F.
In this paper we present a new mathematical rigorous technique for computing the average free energy of a disordered system with quenched randomness, using the replicas. The basic tool of this technique is a distributional zeta-function, a complex fu
Externí odkaz:
http://arxiv.org/abs/1603.05919
Publikováno v:
Int. J. Mod. Phys. A 28, 1350128 (2013)
The Riemann hypothesis states that all nontrivial zeros of the zeta function lie in the critical line $\Re(s)=1/2$. Hilbert and P\'olya suggested that one possible way to prove the Riemann hypothesis is to interpret the nontrivial zeros in the light
Externí odkaz:
http://arxiv.org/abs/1303.7028