Research Output per year

## Fingerprint Dive into the research topics where Johann Brauchart is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

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## Research Output 2001 2018

### Explicit families of functions on the sphere with exactly known Sobolev space smoothness

Brauchart, J. S., 23 May 2018,*Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan.*Springer International Publishing AG , p. 153-177 25 p.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

### Hyperuniform point sets on the sphere: deterministic aspects

Brauchart, J., Grabner, P. & Kusner, W., 8 May 2018, In : Constructive approximation. 2019, 50, p. 45–61 17 p.Research output: Contribution to journal › Article › Research › peer-review

### Logarithmic and riesz equilibrium for multiple sources on the sphere: The exceptional case

Brauchart, J. S., Dragnev, P. D., Saff, E. B. & Womersley, R. S., 23 May 2018,*Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan.*Springer International Publishing AG , p. 179-203 25 p.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

### Explicit formulas for the Riesz energy of the Nth roots of unity

Brauchart, J., 2016,*Modern trends in constructive function theory: Papers from the Constructive Functions 2014 Conference in honor of Ed Saff's 70th birthday held at Vanderbilt University, Nashville, TN, May 26–30, 2014. Edited by Douglas P. Hardin, Doron S. Lubinsky and Brian Z. Simanek.*American Mathematical Society, Vol. 661. p. 101-120 (Contemporary Mathematics).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

### Minimal Energy, External Fields, and Numerical Integration on a Sphere

Brauchart, J., 2016, 390 p.Research output: Thesis › Habilitation › Research

## Activities 2002 2019

### International Congress on Industrial and Applied Mathematics

Johann Brauchart (Organiser)Activity: Participation in or organisation of › Conference or symposium (Participation in/Organisation of)

### Discrepancy and Hyperuniformity of point set sequences: practical aspects

Johann Brauchart (Speaker)Activity: Talk or presentation › Invited talk at conference or symposium › Science to science

### SFB Workshop and Winter School on Local Statistics of Point Sequences

Johann Brauchart (Participant)Activity: Participation in or organisation of › Workshop, seminar or course (Participation in/Organisation of)

### Numerical Integration and Potential Theory

Johann Brauchart (Speaker)Activity: Talk or presentation › Talk at workshop, seminar or course › Science to science

### Optimal Point Configurations and Potential Theory

Johann Brauchart (Participant)Activity: Participation in or organisation of › Workshop, seminar or course (Participation in/Organisation of)

## Prizes

## Lise-Meitner-Programm

Johann Brauchart (Recipient) & Peter Grabner (Recipient), 1 Oct 2016

Prize: Prizes / Medals / Awards

## Oberwolfach Leibniz Fellows Programme (OWLF)

Johann Brauchart (Recipient), 28 Sep 2008

Prize: Prizes / Medals / Awards

## Projects 1995 2022

### Special Research Area (SFB) F55 Quasi-Monte Carlo Methods: Theory and Applications

Grabner, P., Tichy, R., Kusner, W. B., Ziefle, J., Brauchart, J., Iaco, M. R. & Aistleitner, C.

1/02/14 → 31/01/22

Project: Research project

### Asymptotic and Constructive Analysis

Brauchart, J., Tichy, R. & Grabner, P.

1/01/95 → …

Project: Research area

### FWF - Self WW - Self organization by local interaction: minimal energy, external fields, and numerical integration

1/10/16 → 28/02/19

Project: Research project

### Analytic Combinatorics: Analytic Combinatorics and Probabilistic Number Theory

Wagner, S., Madritsch, M., Aistleitner, C., Barat, G., Thuswaldner, J., Grabner, P., Van De Woestijne, C. E., Heuberger, C., Brauchart, J., Berkes, I., Filipin, A., Zeiner, M. & Tichy, R.

1/01/06 → 31/07/12

Project: Research project

### Concrete Mathematics: Fractals, Digital Functions, and Point Distributions (START Y96-MAT)

Brauchart, J., Teufl, E., Krön, B., Grabner, P., Schweitzer, G., Metz, V., Safer, T., Lamberger, M. & Steinsky, B.

1/10/98 → 30/09/05

Project: Research project