Research profile
Claudio Landim
Author of work recommended on this site.
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- on the reading lists
Why people read this work
On the reading lists
What this site's guides and courses recommend by Claudio Landim, and why. Each opens its Library entry.
- A good place to startVideoLecture 17: Riesz and Lax-Milgram representation theorems
Existence for coercive bilinear forms, the engine of weak solutions.
Recommended in Guidebook 4A.5: Hilbert Spaces and Lax–Milgram · Guidebook 6A.6: Weak Solutions and Elliptic Regularity
- VideoLecture 01: Introduction: a non-measurable set
Why no translation-invariant measure can measure every subset of the line.
Recommended in Guidebook 3A.1: The Problem of Measure
- VideoLecture 06: The Lebesgue measure
Lebesgue measure on the line.
Recommended in Guidebook 3A.2: Lebesgue Measure
- VideoLecture 08: Complete measures
Null sets and completeness of a measure.
Recommended in Guidebook 3A.2: Lebesgue Measure
- VideoLecture 11: Geometric Hahn-Banach theorems
Separating convex sets by hyperplanes.
Recommended in Guidebook 4A.4: Hahn–Banach and Duality
- VideoLecture 16: Theorems on the convergence of integrals
Monotone convergence, Fatou and dominated convergence in an abstract measure space.
Recommended in Guidebook 3A.3: The Lebesgue Integral
- VideoLecture 17: Product measures
Constructing the product of two measure spaces.
Recommended in Guidebook 3A.5: Product Measures and Change of Variables
- VideoLecture 19: Fubini’s Theorem
When iterated integrals agree.
Recommended in Guidebook 3A.5: Product Measures and Change of Variables
- VideoLecture 19A: A quadratic variational problem
Minimising a quadratic energy in a Hilbert space: the direct method in its simplest form.
Recommended in Guidebook 4A.7: Weak Convergence and the Direct Method
- VideoLecture 19C: Generalized derivatives and Sobolev spaces
Sobolev spaces as Hilbert spaces, in a functional analysis course.
Recommended in Guidebook 4A.10: Sobolev Spaces
- VideoLecture 21: Radon-Nikodym Theorem
When one measure has a density with respect to another: the theorem behind weighted measures like e^(−f) dV.
Recommended in Guidebook 3A.4: Measures, Probability and Weights
- VideoLecture 21: Weak convergence
Weak convergence in normed spaces.
Recommended in Guidebook 4A.7: Weak Convergence and the Direct Method
- VideoLecture 25: Applications of weak convergence
Using weak convergence to recover compactness.
Recommended in Guidebook 4A.7: Weak Convergence and the Direct Method
- VideoLecture 25: L_p spaces
Lᵖ spaces in a general measure space.
Recommended in Guidebook 3A.7: Lᵖ Spaces and Jensen’s Inequality
- VideoLecture 28: Vitali’s covering lemma
The Vitali covering lemma, the combinatorial heart of differentiation theory.
Recommended in Guidebook 3A.6: Modes of Convergence and Differentiation
- VideoLecture 30: Absolutely continuous functions
Which functions are integrals of their derivatives.
Recommended in Guidebook 3A.6: Modes of Convergence and Differentiation
- VideoLecture 35: The Fredholm alternative
The Fredholm alternative for compact perturbations of the identity.
Recommended in Guidebook 4A.8: Compact Operators and Spectra
- VideoLecture 7: In infinite dimensions the unit ball is not compact
Riesz’s lemma and the failure of compactness of the unit ball.
Recommended in Guidebook 4A.1: Banach Spaces and Bounded Operators
- VideoMaster Program: Probability Theory, Lecture 1: Introduction
The opening lecture of Landim’s measure-theoretic probability course: probability as a measure of total mass one.
Recommended in Guidebook 3A.4: Measures, Probability and Weights
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NP-RC-900460 is Claudio Landim's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.
A window on one part of a person's work: papers here go back to 2021 and cover Ricci flow and its neighbouring flows, with the older work the site recommends, so this page is no measure of anyone's whole output. Being listed is not an endorsement by or of the person. If two people share this name, their work may appear together here. How it is put together.