AbstractIn this paper we study properties of sections of convex bodies with respect to the Gaussian measure. We develop a formula connecting the Minkowski functional of a convex symmetric body K with the Gaussian measure of its sections. Using this formula we solve an analog of the Busemann–Petty problem for Gaussian measures
The objective of this dissertation is the application of Minkowskian cross-section measures (i.e., s...
AbstractBasic relations and analogies between intersection bodies and their symmetric and nonsymmetr...
Abstract. The Busemann-Petty problem asks whether symmetric con-vex bodies in Rn with smaller (n − 1...
In this paper we study properties of sections of convex bodies with respect to the Gaussian measure....
AbstractIn this paper we give a solution for the Gaussian version of the Busemann–Petty problem with...
AbstractThe Busemann–Petty problem asks whether symmetric convex bodies in Rn with smaller central h...
AbstractWe present generalizations of the Busemann–Petty problem for dual volumes of intermediate ce...
We derive a formula connecting the derivatives of parallel section functions of an origin-symmetric ...
AbstractWe study the diameters of sections of convex bodies in RN determined by a random N×n matrix ...
this paper we provide upper and lower bounds for the Gaussian Measure of a hyperplane section of a c...
We present a method which shows that in E3 the Busemann-Petty problem, concerning central sections o...
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appe...
AbstractIntersection bodies were introduced in 1988 by Lutwak, who found a close connection between ...
Existence of symmetric solutions to the Gaussian Minkowski problem was established by Huang, Xi and ...
It is proved that the answer to the Busemann-Petty problem concerning central sections of centrally ...
The objective of this dissertation is the application of Minkowskian cross-section measures (i.e., s...
AbstractBasic relations and analogies between intersection bodies and their symmetric and nonsymmetr...
Abstract. The Busemann-Petty problem asks whether symmetric con-vex bodies in Rn with smaller (n − 1...
In this paper we study properties of sections of convex bodies with respect to the Gaussian measure....
AbstractIn this paper we give a solution for the Gaussian version of the Busemann–Petty problem with...
AbstractThe Busemann–Petty problem asks whether symmetric convex bodies in Rn with smaller central h...
AbstractWe present generalizations of the Busemann–Petty problem for dual volumes of intermediate ce...
We derive a formula connecting the derivatives of parallel section functions of an origin-symmetric ...
AbstractWe study the diameters of sections of convex bodies in RN determined by a random N×n matrix ...
this paper we provide upper and lower bounds for the Gaussian Measure of a hyperplane section of a c...
We present a method which shows that in E3 the Busemann-Petty problem, concerning central sections o...
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appe...
AbstractIntersection bodies were introduced in 1988 by Lutwak, who found a close connection between ...
Existence of symmetric solutions to the Gaussian Minkowski problem was established by Huang, Xi and ...
It is proved that the answer to the Busemann-Petty problem concerning central sections of centrally ...
The objective of this dissertation is the application of Minkowskian cross-section measures (i.e., s...
AbstractBasic relations and analogies between intersection bodies and their symmetric and nonsymmetr...
Abstract. The Busemann-Petty problem asks whether symmetric con-vex bodies in Rn with smaller (n − 1...
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