Add to ORKGThis thesis consists of two parts: In part I we apply the statistical mechanics techniques to a generalization of the prescribed $Q$-curvature problem, especially on the $mbox{sc d}$-dim sphere $mathbb S^{smallmbox{sc d}}$. We introduce a coupling constant $c$ on top of the configurational canonical ensemble and study the weak convergence of this new canonical ensemble. In this part, the $Q$-curvature does not change sign. In part II the statistical mechanics technique is generalized to the prescribed $Q$-curvature problem with sign-change, while the mechanical interpretation will be lost. We decompose a single differential equation into a system of two differential equations, and the statistical mechanics technique can be appl...
Statistical manifolds are representations of smooth families of probability density functions (ie su...
Two topics are discussed in the paper. The first one concerns information thermody-namics, in partic...
Stacks of fluctuating self-avoiding surfaces with extrinsic urvature stiffness how a fundamental pre...
This thesis consists of two parts: In part I we apply the statistical mechanics tech-niques to a gen...
Curvature measures are important for the characterization of spatial structures since many physical ...
This article begins by reviewing the causal set approach in discrete quantum gravity. In our version...
This article begins by reviewing the causal set approach in discrete quantum gravity. In our version...
The geometry of hypersurfaces defined by the relation which generalizes the classical formula for fr...
We investigate the connection between stochastic and integral geometry. Namely, we illustrate the ro...
This article begins by reviewing the causal set approach in dis-crete quantum gravity. In our versio...
A statistical model M is a family of probability distributions, characterised by a set of continuous...
Statistical manifolds are representations of smooth families of probability density functions that a...
Statistical manifolds are representations of smooth families of probability density functions that a...
Statistical manifolds are representations of smooth families of probability density functions that a...
The objective of the paper is to construct the signed measure which is the closest one to independen...
Statistical manifolds are representations of smooth families of probability density functions (ie su...
Two topics are discussed in the paper. The first one concerns information thermody-namics, in partic...
Stacks of fluctuating self-avoiding surfaces with extrinsic urvature stiffness how a fundamental pre...
This thesis consists of two parts: In part I we apply the statistical mechanics tech-niques to a gen...
Curvature measures are important for the characterization of spatial structures since many physical ...
This article begins by reviewing the causal set approach in discrete quantum gravity. In our version...
This article begins by reviewing the causal set approach in discrete quantum gravity. In our version...
The geometry of hypersurfaces defined by the relation which generalizes the classical formula for fr...
We investigate the connection between stochastic and integral geometry. Namely, we illustrate the ro...
This article begins by reviewing the causal set approach in dis-crete quantum gravity. In our versio...
A statistical model M is a family of probability distributions, characterised by a set of continuous...
Statistical manifolds are representations of smooth families of probability density functions that a...
Statistical manifolds are representations of smooth families of probability density functions that a...
Statistical manifolds are representations of smooth families of probability density functions that a...
The objective of the paper is to construct the signed measure which is the closest one to independen...
Statistical manifolds are representations of smooth families of probability density functions (ie su...
Two topics are discussed in the paper. The first one concerns information thermody-namics, in partic...
Stacks of fluctuating self-avoiding surfaces with extrinsic urvature stiffness how a fundamental pre...