Deposits of clastic carbonate-dominated (calciclastic) sedimentary slope systems in the rock record have been identified mostly as linearly-consistent carbonate apron deposits, even though most ancient clastic carbonate slope deposits fit the submarine fan systems better. Calciclastic submarine fans are consequently rarely described and are poorly understood. Subsequently, very little is known especially in mud-dominated calciclastic submarine fan systems. Presented in this study are a sedimentological core and petrographic characterisation of samples from eleven boreholes from the Lower Carboniferous of Bowland Basin (Northwest England) that reveals a >250 m thick calciturbidite complex deposited in a calciclastic submarine fan setting. Seven facies are recognised from core and thin section characterisation and are grouped into three carbonate turbidite sequences. They include: 1) Calciturbidites, comprising mostly of highto low-density, wavy-laminated bioclast-rich facies; 2) low-density densite mudstones which are characterised by planar laminated and unlaminated muddominated facies; and 3) Calcidebrites which are muddy or hyper-concentrated debrisflow deposits occurring as poorly-sorted, chaotic, mud-supported floatstones. These

Phd by thesis

The Theory of Matrices. By F R. Gantmacher. Two volumes, pp. 374 and 276. 1959. (Translated from the Russian by K. A. Hirsch; Chelsea Publishing Company, New York)

인공고관절의 세라믹 볼 헤드의 기계적 안정성 평가를 위한 3 차원 유한요소 해석

/pdf/introduction-to-the-modern-theory-of-dynamical-systems-1eced70mum.pdf

Introduction to the Modern Theory of Dynamical Systems

Functions of One Complex Variable

Preface Introduction 1. Quasiconformal geometry 2. Extensions and interpolations 3. Preliminaries on dynamical systems and actions of Kleinian groups 4. Introduction to surgery and first occurrences 5. General principles of surgery 6. Soft surgeries with a contribution by X. Buff and C. Henriksen 7. Cut and paste surgeries with contributions by K. M. Pilgrim, Tan Lei and S. Bullett 8. Cut and paste surgeries with sectors with a contribution by A. L. Epstein and M. Yampolsky 9. Trans-quasiconformal surgery with contributions by C. L. Petersen and P. Haissinsky Bibliography Symbol index Index.

Quasiconformal surgery in holomorphic dynamics

Dynamics of the complex standard family

In this paper we study the set of periods of holomorphic maps on compact manifolds, using the periodic Lefschetz numbers introduced by Dold and Llibre, which can be computed from the homology class of the map. We show that these numbers contain information about the existence of periodic points of a given period; and, if we assume the map to be transversal, then they give us the exact number of such periodic orbits. We apply this result to the complex projective space of dimension n and to some special type of Hopf surfaces, partially characterizing their set of periods. In the first case we also show that any holomorphic map of CP(n) of degree greater than one has infinitely many distinct periodic orbits, hence generalizing a theorem of Fornaess and Sibony. We then characterize the set of periods of a holomorphic map on the Riemann sphere, hence giving an alternative proof of Baker's theorem.

/pdf/periodic-points-of-holomorphic-maps-via-lefschetz-numbers-2mlor7ltab.pdf

Periodic points of holomorphic maps via Lefschetz numbers

We consider entire transcendental functions $f$ with an invariant
(or periodic) Baker domain $U$. First, we classify these domains
into three types (hyperbolic, simply parabolic and doubly
parabolic) according to the surface they induce when we take the
quotient by the dynamics. Second, we study the space of
quasiconformal deformations of an entire map with such a Baker
domain by studying its Teichmuller space. More precisely, we
show that the dimension of this set is infinite if the Baker
domain is hyperbolic or simply parabolic, and from this we deduce
that the quasiconformal deformation space of $f$ is infinite
dimensional. Finally, we prove that the function $f(z)=z+e^{-z}$,
which possesses infinitely many invariant Baker domains, is rigid,
i.e., any quasiconformal deformation of $f$ is affinely conjugate
to $f$.

/pdf/deformation-of-entire-functions-with-baker-domains-4c8f1f4vx1.pdf

Deformation of Entire Functions with Baker Domains

We classify Baker domains U for entire maps with f|U univalent into three different types, giving several criteria which characterize them. Some new examples of such domains are presented, including a domain with disconnected boundary in and a domain which spirals towards infinity.

Núria Fagella

Papers

Quasiconformal surgery in holomorphic dynamics

Dynamics of the complex standard family

Periodic points of holomorphic maps via Lefschetz numbers

Deformation of Entire Functions with Baker Domains

Univalent Baker domains