🕷️ Crawler Inspector

URL Lookup

Direct Parameter Lookup

Raw Queries and Responses

1. Shard Calculation

Query:

Response:

Calculated Shard: 153 (from laksa121)

2. Crawled Status Check

Query:

curl -X POST \
  'http://laksa153.int.ahrefs:8124/' \
  -H 'Content-Type: text/plain' \
  -H 'X-ClickHouse-Database: crawler3' \
  -H 'Authorization: Basic YXBpOg==' \
  -d 'SELECT getAhrefsURLFromUnparsed(src_unparsed) AS found_url, ifNull(toUnixTimestamp(download_stamp), 0) AS crawl_time, ifNull(toUnixTimestamp(props_url_first_seen), 0) AS first_indexed_time, download_http_code AS http_code, src_unparsed AS src_unparsed, src_root_hash AS src_root_hash, history_drop_reason AS history_drop_reason, meta_title AS meta_title, meta_descriptions AS meta_descriptions, attrs_boilerpipe_text AS attrs_boilerpipe_text, attrs_markdown AS attrs_markdown, attrs_readable_markdown AS attrs_readable_markdown, meta_canonical AS meta_canonical FROM crawler3.page_info_local FINAL PREWHERE (src_root_hash, src_unparsed) IN ((getAhrefsRootHashFromUnparsed(getAhrefsUnparsedNoserviceFromURL(\'https://perso.ens-lyon.fr/ludovic.bellon/wp/popularization/brownian-motion/\')), getAhrefsUnparsedNoserviceFromURL(\'https://perso.ens-lyon.fr/ludovic.bellon/wp/popularization/brownian-motion/\'))) FORMAT JSONEachRow'

Response:

{"found_url":"https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/popularization\/brownian-motion\/","crawl_time":1773001005,"first_indexed_time":1661889107,"http_code":200,"src_unparsed":"fr,ens-lyon!perso,\/ludovic.bellon\/wp\/popularization\/brownian-motion\/ s443","src_root_hash":"4212888013364721753","history_drop_reason":null,"meta_title":"Brownian motion – Ludovic Bellon's physics pages","meta_descriptions":[],"attrs_boilerpipe_text":"The above video illustrate\nthermal noise\n, here with the random motion of tiny particles (glass beads of 2µm of diameter) in water. These fluctuations are characteristic of a\nBrownian motion\n. Recording the trajectories of those particles and comparing them to the theoretical predictions of Albert Einstein of diffusion, Jean Perrin demonstrates in the beginning of the XXth century the existence of atoms, and their huge numbers (6,02 x 10\n23\natoms in 12 g of carbon for example).\nYou can reproduce the experiment of Jean Perrin in the video on top of this page: chose one particle, click on the video to record and visualise the trajectories when time flows. As in the image below, you will observe by yourself the random character of the motion: direction and speed change endlessly.\nA few trajectories for particles tracking by a few visitors of\nthis page\n.\nVotre navigateur n’est pas compatible avec cette expérience interactive, (pas de support des canvas HTML5).","attrs_markdown":"[Aller au contenu principal](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/popularization\/brownian-motion\/#content)\n\n![](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/wp-content\/uploads\/2020\/02\/cropped-AFMOptolyse-1.jpg)\n\n[Ludovic Bellon's physics pages](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/)\n\nkBT world\n\nMenu\n\n- [🇫🇷🇬🇧](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/research\/)\n  - [🇬🇧 ✓](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/research\/)\n  - [🇫🇷](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/recherche\/)\n- [Home](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/)\n- [Research](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/research\/)\n- [Publications](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/category\/en\/)\n  - [Articles](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/category\/article\/)\n  - [Preprints](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/category\/preprint\/)\n  - [Datasets](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/category\/dataset\/)\n  - [Patents](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/category\/patent\/)\n  - [Thesis](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/category\/thesis\/)\n  - [Directed PhD Thesis](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/category\/directedthesis\/)\n- [CV](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/cv\/)\n- [Popularization](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/popularization\/)\n  - [Brownian motion](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/popularization\/brownian-motion\/)\n  - [Nanonoise](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/popularization\/nanonoise\/)\n  - [Short-cutting transients](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/popularization\/short-cutting-transients\/)\n- [Tools](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/tools\/)\n  - [Calibration coefficients for a colloidal probe](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/tools\/colloidal-probe-calibrator\/)\n\n![](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/wp-content\/uploads\/2020\/03\/blank-image.png)\n\n# Brownian motion\nThe above video illustrate *thermal noise*, here with the random motion of tiny particles (glass beads of 2µm of diameter) in water. These fluctuations are characteristic of a **Brownian motion**. Recording the trajectories of those particles and comparing them to the theoretical predictions of Albert Einstein of diffusion, Jean Perrin demonstrates in the beginning of the XXth century the existence of atoms, and their huge numbers (6,02 x 1023 atoms in 12 g of carbon for example).\n\nYou can reproduce the experiment of Jean Perrin in the video on top of this page: chose one particle, click on the video to record and visualise the trajectories when time flows. As in the image below, you will observe by yourself the random character of the motion: direction and speed change endlessly.\n\n![](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/wp-content\/uploads\/2020\/03\/TrajectoiresMvtBrownien.jpg)\n\nA few trajectories for particles tracking by a few visitors of*this page*.\n\nVotre navigateur n’est pas compatible avec cette expérience interactive, (pas de support des canvas HTML5).\n\n![](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/wp-content\/uploads\/2020\/03\/blank-image.png)\n\n[Fièrement propulsé par WordPress](https:\/\/wordpress.org\/)","attrs_readable_markdown":"The above video illustrate *thermal noise*, here with the random motion of tiny particles (glass beads of 2µm of diameter) in water. These fluctuations are characteristic of a **Brownian motion**. Recording the trajectories of those particles and comparing them to the theoretical predictions of Albert Einstein of diffusion, Jean Perrin demonstrates in the beginning of the XXth century the existence of atoms, and their huge numbers (6,02 x 1023 atoms in 12 g of carbon for example).\n\nYou can reproduce the experiment of Jean Perrin in the video on top of this page: chose one particle, click on the video to record and visualise the trajectories when time flows. As in the image below, you will observe by yourself the random character of the motion: direction and speed change endlessly.\n\n![](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/wp-content\/uploads\/2020\/03\/TrajectoiresMvtBrownien.jpg)\n\nA few trajectories for particles tracking by a few visitors of*this page*.\n\nVotre navigateur n’est pas compatible avec cette expérience interactive, (pas de support des canvas HTML5).\n\n![](https:\/\/perso.ens-lyon.fr\/ludovic.bellon\/wp\/wp-content\/uploads\/2020\/03\/blank-image.png)","meta_canonical":null}

3. Robots.txt Check

Query:

Response:

4. Spam/Ban Check

Query:

Response:

5. Seen Status Check

ℹ️ Skipped - page is already crawled

📄

INDEXABLE

✅

CRAWLED

1 month ago

🤖

ROBOTS ALLOWED

Page Info Filters

Filter	Status	Condition	Details
HTTP status	PASS	`download_http_code = 200`	HTTP 200
Age cutoff	PASS	`download_stamp > now() - 6 MONTH`	1.3 months ago
History drop	PASS	`isNull(history_drop_reason)`	No drop reason
Spam/ban	PASS	`fh_dont_index != 1 AND ml_spam_score = 0`	ml_spam_score=0
Canonical	PASS	`meta_canonical IS NULL OR = '' OR = src_unparsed`	Not set

Page Details

Property	Value
URL	https://perso.ens-lyon.fr/ludovic.bellon/wp/popularization/brownian-motion/
Last Crawled	2026-03-08 20:16:45 (1 month ago)
First Indexed	2022-08-30 19:51:47 (3 years ago)
HTTP Status Code	200
Meta Title	Brownian motion – Ludovic Bellon's physics pages
Meta Description	null
Meta Canonical	null
Boilerpipe Text	The above video illustrate thermal noise , here with the random motion of tiny particles (glass beads of 2µm of diameter) in water. These fluctuations are characteristic of a Brownian motion . Recording the trajectories of those particles and comparing them to the theoretical predictions of Albert Einstein of diffusion, Jean Perrin demonstrates in the beginning of the XXth century the existence of atoms, and their huge numbers (6,02 x 10 23 atoms in 12 g of carbon for example). You can reproduce the experiment of Jean Perrin in the video on top of this page: chose one particle, click on the video to record and visualise the trajectories when time flows. As in the image below, you will observe by yourself the random character of the motion: direction and speed change endlessly. A few trajectories for particles tracking by a few visitors of this page . Votre navigateur n’est pas compatible avec cette expérience interactive, (pas de support des canvas HTML5).
Markdown	[Aller au contenu principal](https://perso.ens-lyon.fr/ludovic.bellon/wp/popularization/brownian-motion/#content) ![](https://perso.ens-lyon.fr/ludovic.bellon/wp/wp-content/uploads/2020/02/cropped-AFMOptolyse-1.jpg) [Ludovic Bellon's physics pages](https://perso.ens-lyon.fr/ludovic.bellon/wp/) kBT world Menu - [🇫🇷🇬🇧](https://perso.ens-lyon.fr/ludovic.bellon/wp/research/) - [🇬🇧 ✓](https://perso.ens-lyon.fr/ludovic.bellon/wp/research/) - [🇫🇷](https://perso.ens-lyon.fr/ludovic.bellon/wp/recherche/) - [Home](https://perso.ens-lyon.fr/ludovic.bellon/wp/) - [Research](https://perso.ens-lyon.fr/ludovic.bellon/wp/research/) - [Publications](https://perso.ens-lyon.fr/ludovic.bellon/wp/category/en/) - [Articles](https://perso.ens-lyon.fr/ludovic.bellon/wp/category/article/) - [Preprints](https://perso.ens-lyon.fr/ludovic.bellon/wp/category/preprint/) - [Datasets](https://perso.ens-lyon.fr/ludovic.bellon/wp/category/dataset/) - [Patents](https://perso.ens-lyon.fr/ludovic.bellon/wp/category/patent/) - [Thesis](https://perso.ens-lyon.fr/ludovic.bellon/wp/category/thesis/) - [Directed PhD Thesis](https://perso.ens-lyon.fr/ludovic.bellon/wp/category/directedthesis/) - [CV](https://perso.ens-lyon.fr/ludovic.bellon/wp/cv/) - [Popularization](https://perso.ens-lyon.fr/ludovic.bellon/wp/popularization/) - [Brownian motion](https://perso.ens-lyon.fr/ludovic.bellon/wp/popularization/brownian-motion/) - [Nanonoise](https://perso.ens-lyon.fr/ludovic.bellon/wp/popularization/nanonoise/) - [Short-cutting transients](https://perso.ens-lyon.fr/ludovic.bellon/wp/popularization/short-cutting-transients/) - [Tools](https://perso.ens-lyon.fr/ludovic.bellon/wp/tools/) - [Calibration coefficients for a colloidal probe](https://perso.ens-lyon.fr/ludovic.bellon/wp/tools/colloidal-probe-calibrator/) ![](https://perso.ens-lyon.fr/ludovic.bellon/wp/wp-content/uploads/2020/03/blank-image.png) # Brownian motion The above video illustrate thermal noise, here with the random motion of tiny particles (glass beads of 2µm of diameter) in water. These fluctuations are characteristic of a Brownian motion. Recording the trajectories of those particles and comparing them to the theoretical predictions of Albert Einstein of diffusion, Jean Perrin demonstrates in the beginning of the XXth century the existence of atoms, and their huge numbers (6,02 x 1023 atoms in 12 g of carbon for example). You can reproduce the experiment of Jean Perrin in the video on top of this page: chose one particle, click on the video to record and visualise the trajectories when time flows. As in the image below, you will observe by yourself the random character of the motion: direction and speed change endlessly. ![](https://perso.ens-lyon.fr/ludovic.bellon/wp/wp-content/uploads/2020/03/TrajectoiresMvtBrownien.jpg) A few trajectories for particles tracking by a few visitors ofthis page. Votre navigateur n’est pas compatible avec cette expérience interactive, (pas de support des canvas HTML5). ![](https://perso.ens-lyon.fr/ludovic.bellon/wp/wp-content/uploads/2020/03/blank-image.png) [Fièrement propulsé par WordPress](https://wordpress.org/)
Readable Markdown	The above video illustrate thermal noise, here with the random motion of tiny particles (glass beads of 2µm of diameter) in water. These fluctuations are characteristic of a Brownian motion. Recording the trajectories of those particles and comparing them to the theoretical predictions of Albert Einstein of diffusion, Jean Perrin demonstrates in the beginning of the XXth century the existence of atoms, and their huge numbers (6,02 x 1023 atoms in 12 g of carbon for example). You can reproduce the experiment of Jean Perrin in the video on top of this page: chose one particle, click on the video to record and visualise the trajectories when time flows. As in the image below, you will observe by yourself the random character of the motion: direction and speed change endlessly. ![](https://perso.ens-lyon.fr/ludovic.bellon/wp/wp-content/uploads/2020/03/TrajectoiresMvtBrownien.jpg) A few trajectories for particles tracking by a few visitors ofthis page. Votre navigateur n’est pas compatible avec cette expérience interactive, (pas de support des canvas HTML5). ![](https://perso.ens-lyon.fr/ludovic.bellon/wp/wp-content/uploads/2020/03/blank-image.png)
Shard	153 (laksa)
Root Hash	4212888013364721753
Unparsed URL	fr,ens-lyon!perso,/ludovic.bellon/wp/popularization/brownian-motion/ s443