925 research outputs found
The Brownian Web: Characterization and Convergence
The Brownian Web (BW) is the random network formally consisting of the paths
of coalescing one-dimensional Brownian motions starting from every space-time
point in . We extend the earlier work of Arratia
and of T\'oth and Werner by providing characterization and convergence results
for the BW distribution, including convergence of the system of all coalescing
random walkssktop/brownian web/finale/arXiv submits/bweb.tex to the BW under
diffusive space-time scaling. We also provide characterization and convergence
results for the Double Brownian Web, which combines the BW with its dual
process of coalescing Brownian motions moving backwards in time, with forward
and backward paths ``reflecting'' off each other. For the BW, deterministic
space-time points are almost surely of ``type'' -- {\em zero} paths
into the point from the past and exactly {\em one} path out of the point to the
future; we determine the Hausdorff dimension for all types that actually occur:
dimension 2 for type , 3/2 for and , 1 for , and 0
for and .Comment: 52 pages with 4 figure
Metasone furoate induced acneiform eruption
Acne is the chronic inflammatory disease of the pilosebaceous unit, characterized by the formation of comedones, erythematous papules and pustules. Steroid induced acne is an acneiform eruption characterized by sudden onset of follicular papules and pustules shortly after starting topical or oral corticosteroid. Here, we report a case of a 25-year-old female patient who presented herself to the Dermatology out-patient department with the complaints of acne all over the face after the application of mometasone furoate ointment
Randomness amplification against no-signaling adversaries using two devices
Recently, a physically realistic protocol amplifying the randomness of
Santha-Vazirani sources producing cryptographically secure random bits was
proposed; however for reasons of practical relevance, the crucial question
remained open whether this can be accomplished under the minimal conditions
necessary for the task. Namely, is it possible to achieve randomness
amplification using only two no-signaling components and in a situation where
the violation of a Bell inequality only guarantees that some outcomes of the
device for specific inputs exhibit randomness? Here, we solve this question and
present a device-independent protocol for randomness amplification of
Santha-Vazirani sources using a device consisting of two non-signaling
components. We show that the protocol can amplify any such source that is not
fully deterministic into a fully random source while tolerating a constant
noise rate and prove the composable security of the protocol against general
no-signaling adversaries. Our main innovation is the proof that even the
partial randomness certified by the two-party Bell test (a single input-output
pair () for which the conditional probability
is bounded away from for all no-signaling
strategies that optimally violate the Bell inequality) can be used for
amplification. We introduce the methodology of a partial tomographic procedure
on the empirical statistics obtained in the Bell test that ensures that the
outputs constitute a linear min-entropy source of randomness. As a technical
novelty that may be of independent interest, we prove that the Santha-Vazirani
source satisfies an exponential concentration property given by a recently
discovered generalized Chernoff bound.Comment: 15 pages, 3 figure
Ciprofloxacin induced fixed drug eruption
Fixed drug eruption (FDE) is a clinical entity occurring in the same site or sites each time the drug is administered. Acute lesions appear as sharply marginated erythematous plaques, which are usually found on lips, genitalia, abdomen, and legs. The eruptions usually occur within hours of administration of the offending agent and resolves spontaneously without scarring after few weeks of onset. Most common drugs causing FDE are sulfonamides, tetracyclines, salicylates, barbiturates, doxycycline, fluconazole, clarithromycin, etc. Ciprofloxacin, a widely used fluoroquinolone antimicrobial, induces cutaneous adverse drug reactions (ADRs) in about 1-2% of treated patients. Urticaria, angioedema, maculopapular exanthems, and photosensitivity are the most frequently documented cutaneous adverse reactions. In this case report, the patient soon after taking ciprofloxacin tablets, developed itching in the lips, palms and in scrotal region. On continuing the treatment, the next day he developed fluid filled lesions over palm, knuckle, and hyperpigmentation. He gives a history of severe itching and rashes in scrotal region. He gives a history of similar complaints in the previous month after taking ciprofloxacin medication. There was no history of intake of any other medication. On examination, bullous lesions and pustules in finger webs, hyperpigmentation on knuckles, and scrotal erosions were seen. In the present case report, the patient presented with FDE immediately after oral administration of ciprofloxacin and got completely cured after stopping the drug and taking adequate treatment. According to the Naranjo’s ADR probability scale (score=8), this ADR is categorized as a “probable” reaction to the drug
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