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Interwoven Biology of the Tsetse Holobiont
"... Microbial symbionts can be instrumental to the evolutionary success of their hosts. Here, we discuss medically significant tsetse flies (Diptera: Glossinidae), a group comprised of over 30 species, and their use as a valuable model system to study the evolution of the holobiont (i.e., the host and a ..."
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Microbial symbionts can be instrumental to the evolutionary success of their hosts. Here, we discuss medically significant tsetse flies (Diptera: Glossinidae), a group comprised of over 30 species, and their use as a valuable model system to study the evolution of the holobiont (i.e., the host and associated microbes). We first describe the tsetse microbiota, which, despite its simplicity, harbors a diverse range of associations. The maternally transmitted microbes consistently include twoGammaproteobacteria, the obligate mutualistsWigglesworthia spp. and the commensal Sodalis glossinidius, along with the parasitic AlphaproteobacteriaWolbachia. These associations differ in their establishment times, making them unique and distinct from previously characterized symbioses, where multiple microbial partners have associated with their host for a significant portion of its evolution. We then expand into discussing the functional roles and intracommunity dynamics within this holobiont, which enhances our understanding of tsetse biology to encompass the vital functions and interactions of the microbial community. Potential disturbances influencing the tsetse microbiome, including salivary gland hypertrophy virus and trypanosome infections, are highlighted. While previous studies have described evolutionary consequences of host association for symbionts, the initial steps facilitating their incorporation into a holobiont and integration of partner biology have only begun to be explored. Research on the tsetse holobiont will contribute to the understanding of howmicrobial metabolic integration and interdependency initially may develop within hosts, elucidating mechanisms driving adaptations leading to cooperation and coresidence within the microbial community. Lastly, increased knowledge of the tsetse holobiont may also contribute to generating novel African trypano
Multifractal Scaling, Geometrical Diversity, and Hierarchical Structure in the Cool Interstellar Medium
, 2001
"... Multifractal scaling (MFS) refers to structures that can be described as a collection of interwoven fractal subsets which exhibit powerlaw spatial scaling behavior with a range of scaling exponents (concentration, or singularity, strengths) and dimensions. The existence of MFS implies an underlying ..."
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Cited by 1 (0 self)
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Multifractal scaling (MFS) refers to structures that can be described as a collection of interwoven fractal subsets which exhibit powerlaw spatial scaling behavior with a range of scaling exponents (concentration, or singularity, strengths) and dimensions. The existence of MFS implies
Codimension formulae for the intersection of fractal subsets of Cantor spaces
, 2015
"... We examine the dimensions of the intersection of a subset E of an mary Cantor space Cm with the image of a subset F under a random isometry with respect to a natural metric. We obtain almost sure upper bounds for the Hausdorff and upper boxcounting dimensions of the intersection, and a lower bound ..."
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We examine the dimensions of the intersection of a subset E of an mary Cantor space Cm with the image of a subset F under a random isometry with respect to a natural metric. We obtain almost sure upper bounds for the Hausdorff and upper boxcounting dimensions of the intersection, and a lower
Badly approximable vectors on fractals
 Israel J. Math
"... Abstract. For a large class of closed subsets C of R n, we show that the intersection of C with the set of badly approximable vectors has the same Hausdorff dimension as C. The sets are described in terms of measures they support. Examples include (but are not limited to) selfsimilar sets such as C ..."
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Cited by 32 (15 self)
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Abstract. For a large class of closed subsets C of R n, we show that the intersection of C with the set of badly approximable vectors has the same Hausdorff dimension as C. The sets are described in terms of measures they support. Examples include (but are not limited to) selfsimilar sets
The Riemann Zetafunction and the Onedimensional WeylBerry Conjecture for Fractal Drums
 Proc. London Math. Soc
, 1993
"... Based on his earlier work on the vibrations of 'drums with fractal boundary', the first author has refined M. V. Berry's conjecture that extended from the 'smooth ' to the 'fractal ' case H. Weyl's conjecture for the asymptotics of the eigenvalues of the Lapla ..."
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Cited by 64 (19 self)
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of the Laplacian on a bounded open subset of W (see [16]). We solve here in the onedimensional case (that is, when n = 1) this 'modified WeylBerry conjecture'. We discover, in the process, some unexpected and intriguing connections between spectral geometry, fractal geometry and the Riemann zeta
NUMERICS AND FRACTALS∗
"... Abstract. Local iterated function systems are an important generalisation of the standard (global) iterated function systems (IFSs). For a particular class of mappings, their fixed points are the graphs of local fractal functions and these functions themselves are known to be the fixed points of an ..."
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Cited by 1 (1 self)
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Abstract. Local iterated function systems are an important generalisation of the standard (global) iterated function systems (IFSs). For a particular class of mappings, their fixed points are the graphs of local fractal functions and these functions themselves are known to be the fixed points
Brownian motion and harmonic analysis on Sierpinski carpets
 MR MR1701339 (2000i:60083
, 1999
"... Abstract. We consider a class of fractal subsets of R d formed in a manner analogous to the construction of the Sierpinski carpet. We prove a uniform Harnack inequality for positive harmonic functions; study the heat equation, and obtain upper and lower bounds on the heat kernel which are, up to con ..."
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Cited by 106 (14 self)
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Abstract. We consider a class of fractal subsets of R d formed in a manner analogous to the construction of the Sierpinski carpet. We prove a uniform Harnack inequality for positive harmonic functions; study the heat equation, and obtain upper and lower bounds on the heat kernel which are, up
The Fractal Dimension Of Invariant Subsets For Piecewise Monotonic Maps On The Interval
, 1995
"... We consider completely invariant subsets A of weakly expanding piecewise monotonic transformations T on [0; 1]. It is shown that the upper box dimension of A is bounded by the minimum t A of all parameters t for which a tconformal measure with support A exists. In particular, this implies equali ..."
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Cited by 4 (0 self)
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We consider completely invariant subsets A of weakly expanding piecewise monotonic transformations T on [0; 1]. It is shown that the upper box dimension of A is bounded by the minimum t A of all parameters t for which a tconformal measure with support A exists. In particular, this implies
Spectra of recurrence dimension for dynamically defined subsets of Rauzy Fractals
"... We compute the spectra of the recurrence dimension for dynamically defined subsets of Rauzy fractals, in the case when these sets are totally disconnected. These subsets of the Rauzy fractals are defined by subadic systems, therefore there is a well defined dynamical system defined on them. The spec ..."
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We compute the spectra of the recurrence dimension for dynamically defined subsets of Rauzy fractals, in the case when these sets are totally disconnected. These subsets of the Rauzy fractals are defined by subadic systems, therefore there is a well defined dynamical system defined on them
Results 1  10
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8,436