Simon Kristensen

ORCID: 0000-0002-1714-5455
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Research Areas
  • Mathematical Dynamics and Fractals
  • Advanced Topology and Set Theory
  • Meromorphic and Entire Functions
  • Analytic Number Theory Research
  • advanced mathematical theories
  • Advanced Mathematical Identities
  • Advanced Mathematical Theories and Applications
  • Salivary Gland Tumors Diagnosis and Treatment
  • Algebraic Geometry and Number Theory
  • Limits and Structures in Graph Theory
  • Tracheal and airway disorders
  • Advanced Combinatorial Mathematics
  • Obstructive Sleep Apnea Research
  • Functional Equations Stability Results
  • Advanced Differential Equations and Dynamical Systems
  • Ear and Head Tumors
  • History and Theory of Mathematics
  • Head and Neck Anomalies
  • Cold Atom Physics and Bose-Einstein Condensates
  • Quantum chaos and dynamical systems
  • Rings, Modules, and Algebras
  • Algebraic structures and combinatorial models
  • semigroups and automata theory
  • Ear Surgery and Otitis Media
  • Mathematical and Theoretical Analysis

Aarhus University
2012-2024

Odense University Hospital
2024

Aalborg University
2020

Hospital South West Jutland
1984-2015

Danish National Research Foundation
2014

University of Edinburgh
2004-2007

University of York
2003

Institut de Recherche Mathématique Avancée
2001

University of Liverpool
2001

St. Joseph Hospital
1984-1990

The medical records of 1150 tonsillectomized patients were retrospectively reviewed for registration the frequency post-tonsillectomy haemorrhage in relation to sex and age patients, indications tonsillectomy, operative experience surgeon. number post-operative bleeds requiring surgery was 32 (2.8%) occurred most frequently young men with a history previous peritonsillar abscess undergoing cold tonsillectomy. tonsillectomy not higher than expected. As studies have demonstrated that is...

10.1111/j.1365-2273.1984.tb01519.x article EN Clinical Otolaryngology 1984-12-01

The magnetic resonance imaging (MRI) criteria currently used to diagnose idiopathic intracranial hypertension (IIH) are based on expert opinion and have limited accuracy. Additional neuroimaging signs been proposed with contradictory results; thus, prospective evidence is needed improve diagnostic

10.1001/jamanetworkopen.2024.20138 article EN cc-by-nc-nd JAMA Network Open 2024-07-03

We obtain general criteria for giving a lower bound on the degree of numbers form $\prod_{n=1}^\infty \left(1+\frac{b_n}{\alpha_n}\right)$ or $\prod_{m=1}^\infty \left(1+ \sum_{n=1}^\infty \frac{b_{n,m}}{\alpha_{n,m}}\right)$, where $\alpha_n$ and $\alpha_{n,m}$ are assumed to be algebraic integers, $b_n$ $b_{n,m}$ natural numbers. In each case, we give over smallest extension $\mathbb{Q}$ containing all in expression. The obtained depend growth conditions involved quantities.

10.48550/arxiv.2502.03154 preprint EN arXiv (Cornell University) 2025-02-05

We study the distribution of sequences form $(q_ny)_{n=1}^\infty $, where $(q_n)_{n=1}^\infty $ is some increasing sequence integers. In particular, we Lebesgue measure and find bounds on Hausdorff dimension set points $\gamma \in [0,1)$ which are well approximated by in $. The valid for almost every $y$ support a positive Fourier dimension. When required rate approximation very good or if our sufficiently rapidly growing, sharp. If itself measure, also sharp large class sequences.

10.7146/math.scand.a-151576 article EN MATHEMATICA SCANDINAVICA 2025-03-25

The treatment of traumatic tympanic membrane perforations varies in different investigations, ranging from observation to early surgical repair. present study aimed focus on the closure rate and time a group patients treated with watchful waiting policy.The comprised 133 consecutive total 137 perforations. Data were evaluated terms aetiology, location size perforation, audiometric findings, rate, time.The overall was 97 per cent. For known within three months, median between four weeks....

10.1017/s0022215115002303 article EN The Journal of Laryngology & Otology 2015-09-07

A major barrier that limits degradation of the lignocellulosic materials during biogas production is structure itself. Without pretreatment, enzymatic attack hydrolysis not effective and leads to a poor yield biogas. Thus, in this study, effect extrusion as pretreatment on wheat straw deep litter was evaluated. Five screw configurations extruder were tested, namely, mild kneading, long reverse, kneading with reverse. Sugar availability potentials from extruded samples examined. Energy...

10.1021/acs.energyfuels.5b00191 article EN Energy & Fuels 2015-04-21

An abstract is not available for this content so a preview has been provided. Please use the Get access link above information on how to content.

10.1017/s0022215100148406 article EN The Journal of Laryngology & Otology 1984-12-01

A retrospective study of zygomatic fractures is presented in order to analyse late complications and evaluate the different radiographic classifications. The comprises 109 patients with 111 fractures. aetiology was violence 39% traffic accidents 28%. Associated craniofacial skeleton occurred 42% patients. Seventy-two were available for follow-up study. Malar flattening found 16% operated on. Thirty-four per cent had sensory disturbances, 6% enophthalmos, 1% diplopia. Classifications are...

10.1111/j.1365-2273.1986.tb00117.x article EN Clinical Otolaryngology 1986-06-01

Let A be an n×m matrix with real entries. Consider the set BadA of x∈[0,1)n for which there exists a constant c(x)>0 such that any q∈ℤm distance between x and point {Aq} is at least c(x)|q|−m/n. It shown intersection suitably regular fractal maximal Hausdorff dimension. The linear form systems investigated in this paper are natural extensions irrational rotations circle. Even latter one-dimensional case, results obtained new.

10.1112/s0025579310001130 article EN Mathematika 2010-04-16

It is a well-known result in Diophantine approximation over the reals that Lebesgue measure of elements -adics. In this paper, we prove corresponding multi-dimensional for matrices field Laurent series with coefficients from given finite field.

10.1017/s0305004103006911 article EN Mathematical Proceedings of the Cambridge Philosophical Society 2003-09-01

Hibernoma is the designation for a rare, benign, soft-tissue tumour composed of cells similar to those brown adipose tissue. Review world literature reveals about 80 cases, but only six hibernomas in cervical region have previously been reported. A case hibernoma showing descending behaviour presented, and histological, histogenetical, clinical features are discussed. It stated that tumours adequately treated by local excision, as neoplasms histologically clinically extensive vascularity may...

10.1017/s0022215100098170 article EN The Journal of Laryngology & Otology 1985-10-01

Abstract. Serum angiotensin‐converting enzyme (SACE) levels were determined in normotensive pregnant subjects and patients with pre‐eclampsia the third trimester of pregnancy 5 days, 3 6 months after parturition, also first second group. SACE reduced during days delivery compared to non‐pregnant control subjects. After correction for plasma volume expansion, was only. In both corrected significantly lower parturition than The reason level normal is not known. low may be a secondary...

10.3109/00016348309156235 article EN Acta Obstetricia Et Gynecologica Scandinavica 1983-01-01

In this paper the metric theory of Diophantine approximation associated with small linear forms is investigated. Khintchine–Groshev theorems are established along Hausdorff measure generalization without monotonic assumption on function.

10.1142/s1793042112501606 article EN International Journal of Number Theory 2012-11-06

Abstract Warthin's tumour arising from minor salivary glands of the nasopharynx is described in a patient with eosinophilic rhinitis and nasal polyposis. The microscopical features this lesion were indistinguishable those tumours parotid gland. present case supports histogenetic theory that epithelial component extraparotid represents reactive oncocytic metaplasia hyperplasia induced by chronic inflammation rather than genuine neoplasia. It suggested term preferable to designations...

10.1017/s0022215100109508 article EN The Journal of Laryngology & Otology 1989-06-01

An abstract is not available for this content so a preview has been provided. Please use the Get access link above information on how to content.

10.1017/s0022215100099540 article EN The Journal of Laryngology & Otology 1986-04-01

Abstract Bilateral peritonsillar abscesses are rare and often not diagnosed until tonsillectomy. As the condition may create diagnostic problems serious complications, a case history is presented. The importance of rapid otorhinolaryngological examination treatment stressed.

10.1017/s0022215100096948 article EN The Journal of Laryngology & Otology 1985-04-01

Let A be an n by m matrix with real entries. Consider the set Bad_A of x \in [0,1)^n for which there exists a constant c(x)>0 such that any q Z^m distance between and point {Aq} is at least c(x) |q|^{-m/n}. It shown intersection suitably regular fractal maximal Hausdorff dimension. The linear form systems investigated in this paper are natural extensions irrational rotations circle. Even latter one-dimensional case, results obtained new.

10.48550/arxiv.0807.3863 preprint EN other-oa arXiv (Cornell University) 2008-01-01

We prove a metrical result on family of conjectures related to the Littlewood conjecture, namely original mixed conjecture de Mathan and Teulié, hybrid between Cassels conjecture. It is shown that set numbers satisfying strong version all these large in sense Hausdorff dimension restricted badly approximable numbers.

10.1090/s0002-9939-2013-11921-0 article EN Proceedings of the American Mathematical Society 2013-11-19

Abstract We show that the set of complex numbers which are badly approximable by ratios elements ring integers in $\(\mathbb{Q}(\sqrt{-D})\)$ , where D ∈ {1, 2, 3, 7, 11, 19, 43, 67, 163} has maximal Hausdorff dimension. In addition, intersection these sets is shown to have The results remain true when question intersected with a suitably regular fractal set.

10.1017/s0017089510000042 article EN Glasgow Mathematical Journal 2010-03-29
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