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20022026
most citedLower bounds for nodal sets of eigenfunctions

81 citations · 387 across the 58 of their papers we have counts for

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10 papers · 1 filter

math.AP2015

Committee ranking

Tobias Holck Colding, William P. Minicozzi

This paper deals with interactions between committee members as they rank a large list of applicants for a given position and eventually reach consensus. We will see that for a nat…

math.AP2010★ 81 cited

Lower bounds for nodal sets of eigenfunctions

Tobias H. Colding, William P. Minicozzi

We prove lower bounds for the Hausdorff measure of nodal sets of eigenfunctions.

math.AP2003

Estimates for the extinction time for the Ricci flow on certain 3-manifolds and a question of Perelman

Tobias H. Colding, William P. Minicozzi

In this note we prove some bounds for the extinction time for the Ricci flow on certain 3-manifolds. Our interest in this comes from a question of Grisha Perelman asked to the firs…

math.AP2003★ 3 cited

Sharp estimates for mean curvature flow of graphs

Tobias H. Colding, W. P. Minicozzi

Sharp estimates for mean curvature flow of graphs are shown and examples are given to illustrate why these are sharp. The estimates improves earlier (non-sharp) estimates of Klaus…

math.AP2003★ 1 cited

The min--max construction of minimal surfaces

Tobias H. Colding, Camillo De Lellis

In this paper we survey with complete proofs some well--known, but hard to find, results about constructing closed embedded minimal surfaces in a closed 3-dimensional manifold via…

math.AP2002★ 4 cited

The space of embedded minimal surfaces of fixed genus in a 3-manifold III; Planar domains

Tobias H. Colding, William P. Minicozzi

This paper is the third in a series where we describe the space of all embedded minimal surfaces of fixed genus in a fixed (but arbitrary) closed 3-manifold. In [CM3]-[CM5] we desc…