Leandro

1,132 reputation

711

bio	website	leandromat.wordpress.com
	location	Brasilia, Brazil
	age	36
visits	member for	2 years, 9 months
	seen	May 7 at 20:39
stats	profile views	226

I am a mathematical physicist at Universidade de Brasília. I am currently interested in Classical Equilibrium Statistical Mechanics, Percolation and Ergodic Theory. Contact: leandro.mat@gmail.com

	1,132 reputation	bio	website	leandromat.wordpress.com	visits	member for	2 years, 9 months
711 badges		location	Brasilia, Brazil		seen	May 7 at 20:39

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Aug 4	awarded	Yearling
Jun 15	comment	which are positive definite matrix Yes and worth to mention that in the definition of positivity we only have to verify the inequality for $x\neq 0$.
Jun 15	comment	which are positive definite matrix @Mex Leandro :)
Jun 15	comment	Terminology between essentially bounded function and bounded function. No see the William's answer. It is not possible, in general, to show that $f$ is bounded. Another very simple example can be constructed by using a Dirac delta measure.
Jun 15	answered	which are positive definite matrix
Jun 15	comment	Terminology between essentially bounded function and bounded function. Just take the limit in the inequality $\|\sigma_{n}(x)\|\leq K$
Jun 15	comment	Terminology between essentially bounded function and bounded function. Kns last inequality you mean almost surely ?
Jun 8	awarded	Constituent
Jun 8	awarded	Caucus
Jun 8	awarded	Caucus
May 27	comment	Formal proof that $\mathbb{R}^{2}\setminus (\mathbb{Q}\times \mathbb{Q}) \subset \mathbb{R}^{2}$ is connected. JDH this comment is just to point out a small typo :$A\subset\mathbb{R}^2$. +1 nice answer!
Mar 27	answered	Two Dimensional Ising Model and Hamiltonian.
Mar 21	answered	Openness and differentiation
Mar 21	answered	Where do the higher order terms in Taylor series come from?
Mar 9	comment	What distinguishes the Measure Theory and Probability Theory? "Probability theory is measure theory with soul".
Feb 25	accepted	How to prove this subadditivity?
Feb 25	comment	How to prove this subadditivity? It is awesome to get beyond a beautiful answer a new "technique". Thanks a lot Didier Piau for this post and the detailed explanation.
Feb 24	revised	How to prove this subadditivity? edited tags
Feb 23	asked	How to prove this subadditivity?
Feb 10	comment	The Space $C(\Omega,\mathbb{R})$ has a Predual? @YemonChoi I think that this cartesian space is always separable in this case, because $E^{\mathbb{Z}^d}$ is compact in the product topology, which is in this case generated by the metric $d_1(\omega,\eta)=\sum_{i\in\mathbb{Z}^d}\frac{1}{2^{\\|i\\|}} d(\omega_i,\eta_i)$, where $\omega=(\omega_i)_{i\in\mathbb{Z}^d}$ and $d$ is the metric on $E$.