Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: First Arrival Position in Molecular Communication Via Generator of
  Diffusion Semigroup   We consider the problem of characterizing the first arrival position (FAP)
density in molecular communication (MC) with a diffusion-advection channel that
permits a constant drift velocity pointed to arbitrary direction. The advantage
of FAP modulation lies in the fact that it could encode more information into
higher dimensional spatial variables, compared to other modulation techniques
using time or molecule numbers. However, effective methods to characterize the
FAP density in a general framework do not exist. In this paper, we devise a
methodology that fully resolves the FAP density with planar absorbing receivers
in arbitrary dimensions. Our work recovers existing results of FAP in 2D and 3D
as special cases. The key insight of our approach is to remove the time
dependence of the MC system evolution based on the generator of diffusion
semigroups.

11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th