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Vieux Girondin | A lazy mathematician's blog

A lazy mathematician's blog

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Vieux Girondin | A lazy mathematician's blog | vieuxgirondin.wordpress.com Reviews
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Vieux Girondin | A lazy mathematician's blog | vieuxgirondin.wordpress.com Reviews

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A lazy mathematician's blog

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1

Equivalence of norms | Vieux Girondin

https://vieuxgirondin.wordpress.com/2011/06/17/73

A lazy mathematician's blog. Laquo; radius-dimension symmetry for octahedra. A mean value theorem. It is well-known that all norms on a finite dimensional. Vector space are equivalent: the proof is immediate, because the unit ball is compact. A similar argument works with. Replaced by any locally compact field. It is less known that the same is true over any complete. Dimensional vector space over some complete field,. We fix a basis. And show that any norm. Is equivalent to the sup-norm. Hence it is a C...

2

A mean value theorem | Vieux Girondin

https://vieuxgirondin.wordpress.com/2011/07/29/a-mean-value-theorem

A lazy mathematician's blog. Laquo; Equivalence of norms. Arithmetic and Geometry, Bonn, April 2013. A mean value theorem. Asked me about the proof of the general mean value theorem mentioned in the very first entry. Of this blog. Let me recall the statement. In what follows. Is an interval and. Are (pairwise distinct) points on. Times differentiable functions on. Is the Vandermonde determinant. Times differentiable function on. The Lagrange interpolation polynomial for. The polynomial of degree at most.

3

June | 2011 | Vieux Girondin

https://vieuxgirondin.wordpress.com/2011/06

A lazy mathematician's blog. Archive for June, 2011. June 17, 2011. It is well-known that all norms on a finite dimensional. Vector space are equivalent: the proof is immediate, because the unit ball is compact. A similar argument works with. Replaced by any locally compact field. It is less known that the same is true over any complete. Dimensional vector space over some complete field,. We fix a basis. And show that any norm. Is equivalent to the sup-norm. With respect to this basis:. Is attained at its.

4

April | 2010 | Vieux Girondin

https://vieuxgirondin.wordpress.com/2010/04

A lazy mathematician's blog. Archive for April, 2010. Lattice points on algebraic curves: a uniform estimate (after Bombieri and Pila). April 23, 2010. In the previous post. We discussed the following result of Bombieri and Pila (1989): let. Be a compact segment of a real analytic transcendental plane curve; then for any positive integer. Bombieri and Pila remark that a similar (and even stronger) statement holds if. Is algebraic but does not admit polynomial parametrization. Contained in the unit square.

5

July | 2011 | Vieux Girondin

https://vieuxgirondin.wordpress.com/2011/07

A lazy mathematician's blog. Archive for July, 2011. A mean value theorem. July 29, 2011. Asked me about the proof of the general mean value theorem mentioned in the very first entry. Of this blog. Let me recall the statement. In what follows. Is an interval and. Are (pairwise distinct) points on. Times differentiable functions on. Is the Vandermonde determinant. Times differentiable function on. The Lagrange interpolation polynomial for. The polynomial of degree at most. And by the Rolle theorem its.

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Restriction estimates for the paraboloid over finite fields | Lewko's blog

https://lewko.wordpress.com/2010/09/19/restriction-estimates-for-the-paraboloid-over-finite-fields

Skip to search - Accesskey = s. Restriction estimates for the paraboloid over finite fields. Posted in Fourier Analysis. By Mark Lewko on September 19, 2010. And I recently completed a paper titled Restriction estimates for the paraboloid over finite fields. In this note we obtain some endpoint restriction estimates for the paraboloid over finite fields. Denote a hypersurface in. The restriction problem for. Is to determine for which pairs of. Does there exist an inequality of the form. Denote a finite f...

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The millennium problems and football | Lewko's blog

https://lewko.wordpress.com/2011/02/04/the-millennium-problems-and-football

Skip to search - Accesskey = s. The millennium problems and football. By Mark Lewko on February 4, 2011. From a discussion thread on CNN’s story Footballer: ‘Are you OK with destroying a kid’s brain for this game? Laquo; How to leak on key updates. An Exact Asymptotic for the Square Variation of Partial Sum Processes. Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. Address never made public). Notify me of new comments via email. What's new...

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An Exact Asymptotic for the Square Variation of Partial Sum Processes | Lewko's blog

https://lewko.wordpress.com/2011/06/06/an-exact-asymptotic-for-the-square-variation-of-partial-sum-processes

Skip to search - Accesskey = s. An Exact Asymptotic for the Square Variation of Partial Sum Processes. Posted in math.PR. By Mark Lewko on June 6, 2011. And I just arxiv’ed our paper An Exact Asymptotic for the Square Variation of Partial Sum Processes. Be a sequence of independent, identically distributed random variables with mean. The strong law of large numbers asserts that. Almost surely. Without loss of generality, one can assume that. Are mean-zero by defining. Gets as large/small as. Can be remov...

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How to leak on key updates | Lewko's blog

https://lewko.wordpress.com/2011/02/03/how-to-leak-on-key-updates

Skip to search - Accesskey = s. How to leak on key updates. By Mark Lewko on February 3, 2011. Leakage resilient cryptography is an exciting area of cryptography that aims to build cryptosystems that provide security against side channel attacks. In this post I will give a nontechnical description of a common leakage resilient security model, as well as describe a recent paper in the area with Allison Lewko. Titled “How to Leak on Key Updates”. Review of Public Key Encryption. 3) we allow Alice and Bob t...

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An improved upper bound for the sum-free subset constant | Lewko's blog

https://lewko.wordpress.com/2010/08/27/an-improved-upper-bound-for-the-sum-free-subset-constant

Skip to search - Accesskey = s. An improved upper bound for the sum-free subset constant. Posted in math.CO. By Mark Lewko on August 27, 2010. I recently arXiv’ed a short note titled An Improved Upper Bound for the Sum-free Subset Constant. In this post I will briefly describe the result. We say a set of natural numbers. Is sum-free if there is no solution to the equation. The following is a well-known theorem of Erdős. Be a finite set of natural numbers. There exists a sum-free subset. While we have not...

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Adam Smith on mathematicians (circa 1759) | Lewko's blog

https://lewko.wordpress.com/2011/01/29/adam-smith-on-mathematicians-circa-1759

Skip to search - Accesskey = s. Adam Smith on mathematicians (circa 1759). By Mark Lewko on January 29, 2011. I recently came across the following passage regarding the mathematical profession from Adam Smith’. S influential work The Theory of Moral Sentiments. That I thought others might find interesting:. The morals of those different classes of men of letters are, perhaps, sometimes somewhat affected by this very great difference in their situation with regard to the public. How to leak on key updates.

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The Eberhard-Green-Manners Sum-free Subset Theorem, and `What is Sum-free(13)?’ | Lewko's blog

https://lewko.wordpress.com/2013/02/19/the-eberhard-green-manners-sum-free-subset-theorem-and-what-is-sum-free13

Skip to search - Accesskey = s. The Eberhard-Green-Manners Sum-free Subset Theorem, and `What is Sum-free(13)? Posted in math.CO. By Mark Lewko on February 19, 2013. The first research level math problem I seriously worked on (without much success) was the sum-free subset problem. A sum-free set (in an additive group) is a set that contains no solution to the equation. The sum-free subset problem concerns the following theorem of Erdős. Which is one of the early applications of the probabilistic method.

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Vieux Girondin | A lazy mathematician's blog

A lazy mathematician's blog. Arithmetic and Geometry, Bonn, April 2013. April 18, 2013. Today on the conference Florian Pop. Gave a wonderful, very inspirational and very enlightening talk on Rumely’s arithmetical capacity theory. I feel a strong desire to abandon all my current projects and start reading Rumely’s books. Last time I had such feeling when I learned the notion of o-minimality and read the book of van den Dries. By the way, as Martin Widmer. A mean value theorem. July 29, 2011. We consider ...

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